Atkin-Lehner |
2- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
47824w |
Isogeny class |
Conductor |
47824 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13056 |
Modular degree for the optimal curve |
Δ |
5356288 = 28 · 73 · 61 |
Discriminant |
Eigenvalues |
2- -1 4 7- -3 4 7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-156,-692] |
[a1,a2,a3,a4,a6] |
j |
4812208/61 |
j-invariant |
L |
2.7024000832023 |
L(r)(E,1)/r! |
Ω |
1.3512000416817 |
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 |
11956h1 47824l1 |
Quadratic twists by: -4 -7 |