Atkin-Lehner |
2- 7+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
35728v |
Isogeny class |
Conductor |
35728 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-84613050368 = -1 · 212 · 7 · 112 · 293 |
Discriminant |
Eigenvalues |
2- -1 0 7+ 11- 2 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1013,-18371] |
[a1,a2,a3,a4,a6] |
j |
-28094464000/20657483 |
j-invariant |
L |
2.4595321400725 |
L(r)(E,1)/r! |
Ω |
0.4099220233461 |
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 |
2233b1 |
Quadratic twists by: -4 |