Atkin-Lehner |
2- 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
8700s |
Isogeny class |
Conductor |
8700 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
68640 |
Modular degree for the optimal curve |
Δ |
-23117683500000000 = -1 · 28 · 313 · 59 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -1 -4 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,5667,-7311537] |
[a1,a2,a3,a4,a6] |
Generators |
[258:3375:1] |
Generators of the group modulo torsion |
j |
40247296/46235367 |
j-invariant |
L |
4.7633776749283 |
L(r)(E,1)/r! |
Ω |
0.17699966361575 |
Real period |
R |
1.0350688239093 |
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 |
34800cn1 26100be1 8700j1 |
Quadratic twists by: -4 -3 5 |