Atkin-Lehner |
2- 3- 29- |
Signs for the Atkin-Lehner involutions |
Class |
30276v |
Isogeny class |
Conductor |
30276 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24192 |
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 |
4.043355999172 |
L(r)(E,1)/r! |
Ω |
1.0108389997932 |
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 |
121104da1 10092f1 30276u1 |
Quadratic twists by: -4 -3 29 |