Atkin-Lehner |
3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
117975bj |
Isogeny class |
Conductor |
117975 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8236800 |
Modular degree for the optimal curve |
Δ |
2.6671980571146E+20 |
Discriminant |
Eigenvalues |
0 3- 5+ -4 11- 13+ -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-30502083,64824976244] |
[a1,a2,a3,a4,a6] |
Generators |
[3234:3913:1] |
Generators of the group modulo torsion |
j |
12390400000/1053 |
j-invariant |
L |
3.84278897771 |
L(r)(E,1)/r! |
Ω |
0.16646130474235 |
Real period |
R |
5.7712946512238 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000070077 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117975bc1 117975bu1 |
Quadratic twists by: 5 -11 |