Atkin-Lehner |
2- 5- 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
7990f |
Isogeny class |
Conductor |
7990 |
Conductor |
∏ cp |
360 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
27817984000000000 = 220 · 59 · 172 · 47 |
Discriminant |
Eigenvalues |
2- -1 5- 1 -5 3 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-161775,23656885] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:5458:1] |
Generators of the group modulo torsion |
j |
468228781086824415601/27817984000000000 |
j-invariant |
L |
5.4665024128723 |
L(r)(E,1)/r! |
Ω |
0.3683017178049 |
Real period |
R |
0.041229047247314 |
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 |
63920j1 71910j1 39950g1 |
Quadratic twists by: -4 -3 5 |