Atkin-Lehner |
2+ 3- 29- 61- |
Signs for the Atkin-Lehner involutions |
Class |
127368b |
Isogeny class |
Conductor |
127368 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4338688 |
Modular degree for the optimal curve |
Δ |
-5.4433804425009E+21 |
Discriminant |
Eigenvalues |
2+ 3- 0 -1 -5 1 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1340175,-3599585701] |
[a1,a2,a3,a4,a6] |
j |
-22822369783636000000/466682136702753663 |
j-invariant |
L |
0.93610455131909 |
L(r)(E,1)/r! |
Ω |
0.05850656067111 |
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 |
42456g1 |
Quadratic twists by: -3 |