Atkin-Lehner |
5+ 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
89425t |
Isogeny class |
Conductor |
89425 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
26208000 |
Modular degree for the optimal curve |
Δ |
3.9330850938797E+23 |
Discriminant |
Eigenvalues |
-2 0 5+ 7- 6 2 1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-218911175,-1246300500594] |
[a1,a2,a3,a4,a6] |
j |
262861560682205184/89111328125 |
j-invariant |
L |
1.2560050626831 |
L(r)(E,1)/r! |
Ω |
0.039250157811816 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17885s1 89425e1 |
Quadratic twists by: 5 -7 |