Atkin-Lehner |
2+ 3- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
70992g |
Isogeny class |
Conductor |
70992 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-20819678448384 = -1 · 28 · 39 · 173 · 292 |
Discriminant |
Eigenvalues |
2+ 3- -1 4 3 -1 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12468,-579076] |
[a1,a2,a3,a4,a6] |
j |
-1148541254656/111559491 |
j-invariant |
L |
2.6959586546243 |
L(r)(E,1)/r! |
Ω |
0.22466322274729 |
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 |
35496d1 23664a1 |
Quadratic twists by: -4 -3 |