Atkin-Lehner |
2- 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
67626u |
Isogeny class |
Conductor |
67626 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
-9.5891624632072E+25 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 -4 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,20624575,469751833073] |
[a1,a2,a3,a4,a6] |
Generators |
[-6821:111496:1] |
Generators of the group modulo torsion |
j |
55138849409108375/5449537181735712 |
j-invariant |
L |
8.0499829718052 |
L(r)(E,1)/r! |
Ω |
0.04602370323795 |
Real period |
R |
4.3727375273352 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999804 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22542i2 3978i2 |
Quadratic twists by: -3 17 |