Atkin-Lehner |
2- 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
90506c |
Isogeny class |
Conductor |
90506 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
544320 |
Modular degree for the optimal curve |
Δ |
13344039394869248 = 227 · 134 · 592 |
Discriminant |
Eigenvalues |
2- 0 2 1 6 13+ -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-62839,-2407345] |
[a1,a2,a3,a4,a6] |
Generators |
[-205:1454:1] |
Generators of the group modulo torsion |
j |
7883172050274153/3833392529408 |
j-invariant |
L |
13.213834400382 |
L(r)(E,1)/r! |
Ω |
0.31666565362966 |
Real period |
R |
0.77274132522481 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008384 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90506a1 |
Quadratic twists by: -59 |