Atkin-Lehner |
3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
123627x |
Isogeny class |
Conductor |
123627 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2004480 |
Modular degree for the optimal curve |
Δ |
1.1123309655067E+19 |
Discriminant |
Eigenvalues |
-1 3- -1 7- -2 2 -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-722016,-173303901] |
[a1,a2,a3,a4,a6] |
j |
707281/189 |
j-invariant |
L |
1.0022881251459 |
L(r)(E,1)/r! |
Ω |
0.16704765821806 |
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 |
17661d1 123627d1 |
Quadratic twists by: -7 29 |