Atkin-Lehner |
3+ 5- 19+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
25365d |
Isogeny class |
Conductor |
25365 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
31680 |
Modular degree for the optimal curve |
Δ |
72530735565 = 3 · 5 · 193 · 893 |
Discriminant |
Eigenvalues |
2 3+ 5- -3 -4 -2 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1050,2291] |
[a1,a2,a3,a4,a6] |
j |
128146030391296/72530735565 |
j-invariant |
L |
0.94073720453487 |
L(r)(E,1)/r! |
Ω |
0.94073720453457 |
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 |
76095f1 126825m1 |
Quadratic twists by: -3 5 |