Atkin-Lehner |
2- 3- 7+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
50778x |
Isogeny class |
Conductor |
50778 |
Conductor |
∏ cp |
272 |
Product of Tamagawa factors cp |
deg |
22560768 |
Modular degree for the optimal curve |
Δ |
1.1960379392271E+25 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -2 13+ 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1054415471,13177706665335] |
[a1,a2,a3,a4,a6] |
Generators |
[2526055:-44933106:125] |
Generators of the group modulo torsion |
j |
177840836302467548407436408233/16406556093650659442688 |
j-invariant |
L |
7.0103976688035 |
L(r)(E,1)/r! |
Ω |
0.068304287655624 |
Real period |
R |
1.5093354590601 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000028 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16926a1 |
Quadratic twists by: -3 |