Atkin-Lehner |
2+ 3- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
72384bl |
Isogeny class |
Conductor |
72384 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
26112 |
Modular degree for the optimal curve |
Δ |
-60874944 = -1 · 26 · 3 · 13 · 293 |
Discriminant |
Eigenvalues |
2+ 3- -1 4 6 13- -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-31,371] |
[a1,a2,a3,a4,a6] |
j |
-53157376/951171 |
j-invariant |
L |
4.9858152476078 |
L(r)(E,1)/r! |
Ω |
1.6619384183629 |
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 |
72384t1 36192a1 |
Quadratic twists by: -4 8 |