Atkin-Lehner |
2- 3- 5- 23- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
89010cb |
Isogeny class |
Conductor |
89010 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
deg |
819200 |
Modular degree for the optimal curve |
Δ |
1304105818521600 = 220 · 37 · 52 · 232 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 0 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-322952,70699979] |
[a1,a2,a3,a4,a6] |
Generators |
[337:61:1] |
Generators of the group modulo torsion |
j |
5109858315710063929/1788896870400 |
j-invariant |
L |
9.9271061610387 |
L(r)(E,1)/r! |
Ω |
0.47380992153376 |
Real period |
R |
1.0475831869806 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008634 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
29670l1 |
Quadratic twists by: -3 |