Atkin-Lehner |
2- 5+ 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
25960c |
Isogeny class |
Conductor |
25960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
838656 |
Modular degree for the optimal curve |
Δ |
526501250000 = 24 · 57 · 112 · 592 |
Discriminant |
Eigenvalues |
2- 0 5+ 2 11+ -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-90651038,332205857413] |
[a1,a2,a3,a4,a6] |
j |
5148990298172231522059659264/32906328125 |
j-invariant |
L |
0.61660959472785 |
L(r)(E,1)/r! |
Ω |
0.30830479736384 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51920e1 129800b1 |
Quadratic twists by: -4 5 |