Atkin-Lehner |
2- 3- 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
129456bu |
Isogeny class |
Conductor |
129456 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-292232550384 = -1 · 24 · 36 · 292 · 313 |
Discriminant |
Eigenvalues |
2- 3- 3 1 0 -4 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-561,26507] |
[a1,a2,a3,a4,a6] |
j |
-1674035968/25054231 |
j-invariant |
L |
3.2915008624507 |
L(r)(E,1)/r! |
Ω |
0.82287487916332 |
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 |
32364q1 14384c1 |
Quadratic twists by: -4 -3 |