Atkin-Lehner |
2- 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
7742n |
Isogeny class |
Conductor |
7742 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10560 |
Modular degree for the optimal curve |
Δ |
2379333376 = 28 · 76 · 79 |
Discriminant |
Eigenvalues |
2- 3 3 7- -2 5 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-426,-2327] |
[a1,a2,a3,a4,a6] |
j |
72511713/20224 |
j-invariant |
L |
8.5856803991449 |
L(r)(E,1)/r! |
Ω |
1.0732100498931 |
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 |
61936q1 69678n1 158a1 |
Quadratic twists by: -4 -3 -7 |