Atkin-Lehner |
2+ 5- 89- |
Signs for the Atkin-Lehner involutions |
Class |
7120f |
Isogeny class |
Conductor |
7120 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
8000 |
Modular degree for the optimal curve |
Δ |
-569600000 = -1 · 211 · 55 · 89 |
Discriminant |
Eigenvalues |
2+ -1 5- -4 5 -4 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7160,235600] |
[a1,a2,a3,a4,a6] |
Generators |
[50:-10:1] |
Generators of the group modulo torsion |
j |
-19824100055282/278125 |
j-invariant |
L |
3.1499643913234 |
L(r)(E,1)/r! |
Ω |
1.4936022985182 |
Real period |
R |
0.21089713067854 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3560e1 28480bc1 64080f1 35600h1 |
Quadratic twists by: -4 8 -3 5 |