Atkin-Lehner |
2+ 3- 5- 17+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
93330q |
Isogeny class |
Conductor |
93330 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
6.8821297408955E+36 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-635202934209,148453997840764605] |
[a1,a2,a3,a4,a6] |
Generators |
[35203694911207458742901636545579306476900428872958983900750176733073634186766117161123957665672782649032453585365212988677576930527387167056592507273213012742103873967903310442876863577241480752217424516033454716403343953256305:728151086254393435544907056933814461821361651679284014451543256690427405425792219898628240663097033093116681133918518229390843087778889408076502064736378015489476667127587054894128537221539785929586199641372652651247931066201875500:82280938920814688248490275287575898709356684887797856641710987937311334268042347807581384347989136262198319638170879448165448660951853773621125788119199638156830519890393670157976976901657739309693743201069556390733839] |
Generators of the group modulo torsion |
j |
38880663764404124289198565844079064849/9440507189157010200858275385384960 |
j-invariant |
L |
4.9364385570257 |
L(r)(E,1)/r! |
Ω |
0.0070208840461406 |
Real period |
R |
351.55391575932 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31110w4 |
Quadratic twists by: -3 |