Atkin-Lehner |
2+ 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
73304h |
Isogeny class |
Conductor |
73304 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
39168 |
Modular degree for the optimal curve |
Δ |
-42369712 = -1 · 24 · 72 · 11 · 173 |
Discriminant |
Eigenvalues |
2+ 2 4 7- 11+ -4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-331,-2232] |
[a1,a2,a3,a4,a6] |
j |
-5131012096/54043 |
j-invariant |
L |
4.4732237130653 |
L(r)(E,1)/r! |
Ω |
0.55915296580748 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73304c1 |
Quadratic twists by: -7 |