Atkin-Lehner |
3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
25047g |
Isogeny class |
Conductor |
25047 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
142080 |
Modular degree for the optimal curve |
Δ |
-333400685303169 = -1 · 316 · 114 · 232 |
Discriminant |
Eigenvalues |
1 3- -1 0 11- 1 1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-514575,-141950286] |
[a1,a2,a3,a4,a6] |
j |
-1411796061716161/31236921 |
j-invariant |
L |
1.0695178033207 |
L(r)(E,1)/r! |
Ω |
0.089126483610058 |
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 |
8349e1 25047h1 |
Quadratic twists by: -3 -11 |