Atkin-Lehner |
2- 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
7120l |
Isogeny class |
Conductor |
7120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
569600000000 = 214 · 58 · 89 |
Discriminant |
Eigenvalues |
2- -2 5+ -4 0 0 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6696,-209996] |
[a1,a2,a3,a4,a6] |
Generators |
[-50:48:1] |
Generators of the group modulo torsion |
j |
8107275964969/139062500 |
j-invariant |
L |
1.9802782835801 |
L(r)(E,1)/r! |
Ω |
0.52831407918142 |
Real period |
R |
1.8741486945118 |
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 |
890c1 28480bt1 64080bd1 35600be1 |
Quadratic twists by: -4 8 -3 5 |