Atkin-Lehner |
2- 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
115192bc |
Isogeny class |
Conductor |
115192 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24960 |
Modular degree for the optimal curve |
Δ |
-17739568 = -1 · 24 · 72 · 113 · 17 |
Discriminant |
Eigenvalues |
2- 2 0 7- 11+ 2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,37,-196] |
[a1,a2,a3,a4,a6] |
Generators |
[615:2951:27] |
Generators of the group modulo torsion |
j |
256000/833 |
j-invariant |
L |
11.433162501761 |
L(r)(E,1)/r! |
Ω |
1.1159965949002 |
Real period |
R |
5.1224002790099 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999681446 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115192a1 |
Quadratic twists by: -11 |