Atkin-Lehner |
2- 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
25392bd |
Isogeny class |
Conductor |
25392 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
56448 |
Modular degree for the optimal curve |
Δ |
-606560845824 = -1 · 219 · 37 · 232 |
Discriminant |
Eigenvalues |
2- 3- 2 -5 3 4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7352,-247980] |
[a1,a2,a3,a4,a6] |
j |
-20285403817/279936 |
j-invariant |
L |
3.6060754197334 |
L(r)(E,1)/r! |
Ω |
0.25757681569524 |
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 |
3174b1 101568cu1 76176cg1 25392bf1 |
Quadratic twists by: -4 8 -3 -23 |