Atkin-Lehner |
2- 5+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
12980d |
Isogeny class |
Conductor |
12980 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
21120 |
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 |
[-33531768:583451:373248] |
Generators of the group modulo torsion |
j |
100672729554878464/254826605 |
j-invariant |
L |
6.7165013646531 |
L(r)(E,1)/r! |
Ω |
0.38190670023088 |
Real period |
R |
8.7933798498334 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51920n1 116820p1 64900f1 |
Quadratic twists by: -4 -3 5 |