Atkin-Lehner |
2+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
76664d |
Isogeny class |
Conductor |
76664 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-3365856256 = -1 · 210 · 74 · 372 |
Discriminant |
Eigenvalues |
2+ 2 1 7+ 2 -2 1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4600,-118596] |
[a1,a2,a3,a4,a6] |
Generators |
[12090:469359:8] |
Generators of the group modulo torsion |
j |
-7680477316/2401 |
j-invariant |
L |
10.124077208474 |
L(r)(E,1)/r! |
Ω |
0.28984384974898 |
Real period |
R |
8.7323546941715 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000736 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76664h1 |
Quadratic twists by: 37 |