Atkin-Lehner |
3+ 5+ 37+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
29415a |
Isogeny class |
Conductor |
29415 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
884400 |
Modular degree for the optimal curve |
Δ |
-1.9919457960498E+19 |
Discriminant |
Eigenvalues |
0 3+ 5+ 0 -2 -2 7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-8313921,9232194401] |
[a1,a2,a3,a4,a6] |
Generators |
[25720475:32334128:15625] |
Generators of the group modulo torsion |
j |
-63553788558843018247143424/19919457960498046875 |
j-invariant |
L |
3.0590721941356 |
L(r)(E,1)/r! |
Ω |
0.21191121393422 |
Real period |
R |
7.2178157477905 |
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 |
88245f1 |
Quadratic twists by: -3 |