Atkin-Lehner |
2- 3- 5+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
51150ci |
Isogeny class |
Conductor |
51150 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
7426980000000 = 28 · 32 · 57 · 113 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-967188,-366193008] |
[a1,a2,a3,a4,a6] |
j |
6403780138352571001/475326720 |
j-invariant |
L |
7.3074031267964 |
L(r)(E,1)/r! |
Ω |
0.1522375651676 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10230j1 |
Quadratic twists by: 5 |