Atkin-Lehner |
3+ 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
117975bf |
Isogeny class |
Conductor |
117975 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4800000 |
Modular degree for the optimal curve |
Δ |
-6.5198174729467E+19 |
Discriminant |
Eigenvalues |
-2 3+ 5- -2 11- 13- 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-448708,405496068] |
[a1,a2,a3,a4,a6] |
Generators |
[-557:21961:1] [-458:22687:1] |
Generators of the group modulo torsion |
j |
-2887553024/18842967 |
j-invariant |
L |
4.9483161461145 |
L(r)(E,1)/r! |
Ω |
0.16889026306223 |
Real period |
R |
1.8311876237904 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999881622 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
117975cm1 10725e1 |
Quadratic twists by: 5 -11 |