Atkin-Lehner |
2+ 3- 59- |
Signs for the Atkin-Lehner involutions |
Class |
62658d |
Isogeny class |
Conductor |
62658 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
81204768 = 25 · 36 · 592 |
Discriminant |
Eigenvalues |
2+ 3- 0 -1 0 4 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-387,2997] |
[a1,a2,a3,a4,a6] |
Generators |
[9:9:1] |
Generators of the group modulo torsion |
j |
2529625/32 |
j-invariant |
L |
4.6645811456165 |
L(r)(E,1)/r! |
Ω |
1.9316670355009 |
Real period |
R |
1.2073978226481 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000272 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6962n1 62658s1 |
Quadratic twists by: -3 -59 |