Atkin-Lehner |
3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
25047h |
Isogeny class |
Conductor |
25047 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1562880 |
Modular degree for the optimal curve |
Δ |
-5.9063965145637E+20 |
Discriminant |
Eigenvalues |
-1 3- -1 0 11- -1 -1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-62263598,189122621438] |
[a1,a2,a3,a4,a6] |
j |
-1411796061716161/31236921 |
j-invariant |
L |
0.60309777117769 |
L(r)(E,1)/r! |
Ω |
0.15077444279445 |
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 |
8349b1 25047g1 |
Quadratic twists by: -3 -11 |