Atkin-Lehner |
2- 7+ 11+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
89474f |
Isogeny class |
Conductor |
89474 |
Conductor |
∏ cp |
45 |
Product of Tamagawa factors cp |
deg |
118800 |
Modular degree for the optimal curve |
Δ |
-71831158784 = -1 · 215 · 74 · 11 · 83 |
Discriminant |
Eigenvalues |
2- 1 3 7+ 11+ -4 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-834,15812] |
[a1,a2,a3,a4,a6] |
j |
-26721587137/29917184 |
j-invariant |
L |
4.9609679512424 |
L(r)(E,1)/r! |
Ω |
0.99219363854001 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
89474j1 |
Quadratic twists by: -7 |