Atkin-Lehner |
2- 3- 29- |
Signs for the Atkin-Lehner involutions |
Class |
121104da |
Isogeny class |
Conductor |
121104 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-7680778992 = -1 · 24 · 39 · 293 |
Discriminant |
Eigenvalues |
2- 3- 4 -1 5 1 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,87,-4205] |
[a1,a2,a3,a4,a6] |
j |
256/27 |
j-invariant |
L |
4.9994257819973 |
L(r)(E,1)/r! |
Ω |
0.62492837306862 |
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 |
30276v1 40368bs1 121104db1 |
Quadratic twists by: -4 -3 29 |