Atkin-Lehner |
3- 7+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
25389h |
Isogeny class |
Conductor |
25389 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
709632 |
Modular degree for the optimal curve |
Δ |
2.8686028836129E+19 |
Discriminant |
Eigenvalues |
-1 3- 2 7+ -4 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2779214,-1763916460] |
[a1,a2,a3,a4,a6] |
j |
3256581892696035537817/39349833794415417 |
j-invariant |
L |
0.70208163935965 |
L(r)(E,1)/r! |
Ω |
0.11701360655995 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8463i1 |
Quadratic twists by: -3 |