Atkin-Lehner |
2- 3+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
54288ba |
Isogeny class |
Conductor |
54288 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
560640 |
Modular degree for the optimal curve |
Δ |
-30394331136 = -1 · 212 · 39 · 13 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 1 0 -2 13- -7 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5080752,4407985008] |
[a1,a2,a3,a4,a6] |
j |
-179910479913725952/377 |
j-invariant |
L |
1.081860868575 |
L(r)(E,1)/r! |
Ω |
0.54093043517679 |
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 |
3393c1 54288x1 |
Quadratic twists by: -4 -3 |