Atkin-Lehner |
2- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
47824q |
Isogeny class |
Conductor |
47824 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
45696 |
Modular degree for the optimal curve |
Δ |
-630161926912 = -1 · 28 · 79 · 61 |
Discriminant |
Eigenvalues |
2- 0 2 7- 4 4 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2744,67228] |
[a1,a2,a3,a4,a6] |
j |
-221184/61 |
j-invariant |
L |
3.4661251366489 |
L(r)(E,1)/r! |
Ω |
0.86653128409176 |
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 |
11956g1 47824e1 |
Quadratic twists by: -4 -7 |