Atkin-Lehner |
2- 5- 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
99710bd |
Isogeny class |
Conductor |
99710 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
307200 |
Modular degree for the optimal curve |
Δ |
-42474864640 = -1 · 216 · 5 · 133 · 59 |
Discriminant |
Eigenvalues |
2- 2 5- -1 5 13- 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-41025,-3215425] |
[a1,a2,a3,a4,a6] |
Generators |
[255:1600:1] |
Generators of the group modulo torsion |
j |
-3475682410168333/19333120 |
j-invariant |
L |
17.124884165754 |
L(r)(E,1)/r! |
Ω |
0.16772863456102 |
Real period |
R |
3.1905859811107 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002215 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99710f1 |
Quadratic twists by: 13 |