Atkin-Lehner |
2+ 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
25410d |
Isogeny class |
Conductor |
25410 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
90720 |
Modular degree for the optimal curve |
Δ |
-61989465162240 = -1 · 29 · 35 · 5 · 77 · 112 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 11- 0 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-32298,2252628] |
[a1,a2,a3,a4,a6] |
j |
-30795427858316209/512309629440 |
j-invariant |
L |
0.62377314075983 |
L(r)(E,1)/r! |
Ω |
0.62377314075998 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76230eh1 127050hu1 25410br1 |
Quadratic twists by: -3 5 -11 |