Atkin-Lehner |
2- 3- 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
64728o |
Isogeny class |
Conductor |
64728 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
8478720 |
Modular degree for the optimal curve |
Δ |
2.992764845024E+21 |
Discriminant |
Eigenvalues |
2- 3- -3 4 2 4 -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-78020139,265238651446] |
[a1,a2,a3,a4,a6] |
j |
70358469917293196436388/4009083565114899 |
j-invariant |
L |
2.6971728341468 |
L(r)(E,1)/r! |
Ω |
0.13485864171354 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129456q1 21576c1 |
Quadratic twists by: -4 -3 |