Atkin-Lehner |
2- 5- 7+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
31150bb |
Isogeny class |
Conductor |
31150 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
2565336445000 = 23 · 54 · 78 · 89 |
Discriminant |
Eigenvalues |
2- 1 5- 7+ 0 -7 -7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-48188,-4074808] |
[a1,a2,a3,a4,a6] |
j |
19799807278419025/4104538312 |
j-invariant |
L |
1.933398757774 |
L(r)(E,1)/r! |
Ω |
0.32223312629531 |
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 |
31150j1 |
Quadratic twists by: 5 |