Atkin-Lehner |
3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
117975bo |
Isogeny class |
Conductor |
117975 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
109440 |
Modular degree for the optimal curve |
Δ |
10108451925 = 32 · 52 · 112 · 135 |
Discriminant |
Eigenvalues |
-2 3- 5+ 2 11- 13+ -3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-788,-7276] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:13:1] |
Generators of the group modulo torsion |
j |
17911336960/3341637 |
j-invariant |
L |
4.6244951845877 |
L(r)(E,1)/r! |
Ω |
0.91261512008887 |
Real period |
R |
2.5336502790568 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000166977 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117975be1 117975cc1 |
Quadratic twists by: 5 -11 |