Atkin-Lehner |
2+ 3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
29232l |
Isogeny class |
Conductor |
29232 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-37884672 = -1 · 28 · 36 · 7 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -6 4 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,60,236] |
[a1,a2,a3,a4,a6] |
j |
128000/203 |
j-invariant |
L |
1.3981072683284 |
L(r)(E,1)/r! |
Ω |
1.3981072683293 |
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 |
14616k1 116928ec1 3248d1 |
Quadratic twists by: -4 8 -3 |