Atkin-Lehner |
2- 3- 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
113850fh |
Isogeny class |
Conductor |
113850 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-10303093468800 = -1 · 27 · 37 · 52 · 112 · 233 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 11- -4 -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-725,154797] |
[a1,a2,a3,a4,a6] |
Generators |
[173:-2364:1] |
Generators of the group modulo torsion |
j |
-2309449585/565327488 |
j-invariant |
L |
8.0066146568415 |
L(r)(E,1)/r! |
Ω |
0.58909722416187 |
Real period |
R |
0.080900772678111 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999914416 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37950d1 113850cu1 |
Quadratic twists by: -3 5 |