Atkin-Lehner |
2- 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
123840ej |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
16220160 |
Modular degree for the optimal curve |
Δ |
-1.8874685441228E+24 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 0 -7 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2918292,-66071613872] |
[a1,a2,a3,a4,a6] |
Generators |
[169024561014:8635494007808:34965783] |
Generators of the group modulo torsion |
j |
14382768678616871/9876709319915520 |
j-invariant |
L |
5.1499073352712 |
L(r)(E,1)/r! |
Ω |
0.038893602141187 |
Real period |
R |
16.551267598513 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123840bw1 30960bx1 41280de1 |
Quadratic twists by: -4 8 -3 |