Atkin-Lehner |
2- 5+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
51920n |
Isogeny class |
Conductor |
51920 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
4077225680 = 24 · 5 · 114 · 592 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 11+ 0 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-24421,1460790] |
[a1,a2,a3,a4,a6] |
Generators |
[-106:1694:1] |
Generators of the group modulo torsion |
j |
100672729554878464/254826605 |
j-invariant |
L |
3.5476376546849 |
L(r)(E,1)/r! |
Ω |
1.2031593900869 |
Real period |
R |
2.9486015601102 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000038 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12980d1 |
Quadratic twists by: -4 |