Atkin-Lehner |
2- 3+ 5+ 17- 37- |
Signs for the Atkin-Lehner involutions |
Class |
94350bm |
Isogeny class |
Conductor |
94350 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
3010560 |
Modular degree for the optimal curve |
Δ |
692906400000000000 = 214 · 34 · 511 · 172 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 -4 2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4896063,-4171680219] |
[a1,a2,a3,a4,a6] |
j |
830700905764449966121/44346009600000 |
j-invariant |
L |
2.8418244315631 |
L(r)(E,1)/r! |
Ω |
0.10149372588344 |
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 |
18870m1 |
Quadratic twists by: 5 |