Atkin-Lehner |
3+ 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
117975bb |
Isogeny class |
Conductor |
117975 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6019200 |
Modular degree for the optimal curve |
Δ |
2.7980842501101E+20 |
Discriminant |
Eigenvalues |
-2 3+ 5- 2 11- 13+ -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2384708,1167584318] |
[a1,a2,a3,a4,a6] |
Generators |
[-1102:49558:1] |
Generators of the group modulo torsion |
j |
17911336960/3341637 |
j-invariant |
L |
2.3671972438542 |
L(r)(E,1)/r! |
Ω |
0.16505749006056 |
Real period |
R |
7.1708266506908 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997744566 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117975cc1 117975be1 |
Quadratic twists by: 5 -11 |