Atkin-Lehner |
2+ 3+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
102336c |
Isogeny class |
Conductor |
102336 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
5425632194052096 = 214 · 37 · 133 · 413 |
Discriminant |
Eigenvalues |
2+ 3+ 3 2 -3 13+ 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10994129,-14027359119] |
[a1,a2,a3,a4,a6] |
Generators |
[-96121558891133662507812704060085:631783793991836683381634922752:50225882093382377338428116133] |
Generators of the group modulo torsion |
j |
8969873074652230258768/331154308719 |
j-invariant |
L |
7.8600520693805 |
L(r)(E,1)/r! |
Ω |
0.082910463922539 |
Real period |
R |
47.400844824146 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
102336cc2 6396f2 |
Quadratic twists by: -4 8 |