Atkin-Lehner |
5+ 7+ 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
117425a |
Isogeny class |
Conductor |
117425 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1420800 |
Modular degree for the optimal curve |
Δ |
-1151742700732421875 = -1 · 511 · 74 · 115 · 61 |
Discriminant |
Eigenvalues |
0 -2 5+ 7+ 11+ 3 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,37967,51568094] |
[a1,a2,a3,a4,a6] |
Generators |
[818:25112:1] |
Generators of the group modulo torsion |
j |
387356719579136/73711532846875 |
j-invariant |
L |
2.9265338153846 |
L(r)(E,1)/r! |
Ω |
0.21187624237623 |
Real period |
R |
3.4531170092315 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999650746 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23485b1 |
Quadratic twists by: 5 |