Atkin-Lehner |
2- 3+ 23- 37- |
Signs for the Atkin-Lehner involutions |
Class |
61272j |
Isogeny class |
Conductor |
61272 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
4288059648 = 28 · 39 · 23 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 -4 2 8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7695,259794] |
[a1,a2,a3,a4,a6] |
j |
10000422000/851 |
j-invariant |
L |
2.641426983129 |
L(r)(E,1)/r! |
Ω |
1.3207134903277 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122544c1 61272b1 |
Quadratic twists by: -4 -3 |