Atkin-Lehner |
2- 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
75950ci |
Isogeny class |
Conductor |
75950 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
6635520 |
Modular degree for the optimal curve |
Δ |
-1.0726997580775E+23 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 0 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,7879787,-13259303583] |
[a1,a2,a3,a4,a6] |
Generators |
[25022:3968739:1] |
Generators of the group modulo torsion |
j |
29434650064089479/58353904000000 |
j-invariant |
L |
6.8627280804414 |
L(r)(E,1)/r! |
Ω |
0.055176220810081 |
Real period |
R |
3.1094591017227 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000843 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15190d1 10850v1 |
Quadratic twists by: 5 -7 |