Atkin-Lehner |
2- 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
73304x |
Isogeny class |
Conductor |
73304 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
124800 |
Modular degree for the optimal curve |
Δ |
-1682846378752 = -1 · 28 · 74 · 115 · 17 |
Discriminant |
Eigenvalues |
2- 2 0 7+ 11+ -4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-9228,-343804] |
[a1,a2,a3,a4,a6] |
j |
-141403906000/2737867 |
j-invariant |
L |
0.97308385003145 |
L(r)(E,1)/r! |
Ω |
0.24327096809221 |
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 |
73304bc1 |
Quadratic twists by: -7 |