Atkin-Lehner |
2- 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
7120h |
Isogeny class |
Conductor |
7120 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
36454400 = 214 · 52 · 89 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 -4 -6 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-83,18] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:6:1] [-7:16:1] |
Generators of the group modulo torsion |
j |
15438249/8900 |
j-invariant |
L |
4.7740776317775 |
L(r)(E,1)/r! |
Ω |
1.7520670115937 |
Real period |
R |
1.362412967137 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
890a1 28480bj1 64080bi1 35600q1 |
Quadratic twists by: -4 8 -3 5 |