Atkin-Lehner |
2- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
8176a |
Isogeny class |
Conductor |
8176 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-2194728288256 = -1 · 232 · 7 · 73 |
Discriminant |
Eigenvalues |
2- 0 -2 7- 0 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5291,-164390] |
[a1,a2,a3,a4,a6] |
j |
-3999236143617/535822336 |
j-invariant |
L |
1.1112636752947 |
L(r)(E,1)/r! |
Ω |
0.27781591882366 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1022b1 32704d1 73584bh1 57232f1 |
Quadratic twists by: -4 8 -3 -7 |