Atkin-Lehner |
3+ 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
117975t |
Isogeny class |
Conductor |
117975 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
342720 |
Modular degree for the optimal curve |
Δ |
-5397724921875 = -1 · 3 · 57 · 116 · 13 |
Discriminant |
Eigenvalues |
2 3+ 5+ -3 11- 13- 5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1008,112793] |
[a1,a2,a3,a4,a6] |
Generators |
[-134:2821:8] |
Generators of the group modulo torsion |
j |
-4096/195 |
j-invariant |
L |
9.5003673293478 |
L(r)(E,1)/r! |
Ω |
0.63295951392412 |
Real period |
R |
3.7523597873324 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000022225 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23595r1 975b1 |
Quadratic twists by: 5 -11 |