Atkin-Lehner |
2- 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
73304be |
Isogeny class |
Conductor |
73304 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
422400 |
Modular degree for the optimal curve |
Δ |
1349848858580992 = 211 · 72 · 115 · 174 |
Discriminant |
Eigenvalues |
2- 3 0 7- 11+ -1 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-28315,-488362] |
[a1,a2,a3,a4,a6] |
j |
25017699845250/13451140571 |
j-invariant |
L |
6.2681197680081 |
L(r)(E,1)/r! |
Ω |
0.39175748420824 |
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 |
73304z1 |
Quadratic twists by: -7 |