Atkin-Lehner |
3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
12789p |
Isogeny class |
Conductor |
12789 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
755177661 = 312 · 72 · 29 |
Discriminant |
Eigenvalues |
2 3- -1 7- -2 -7 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-273,1125] |
[a1,a2,a3,a4,a6] |
j |
62992384/21141 |
j-invariant |
L |
2.9443131462225 |
L(r)(E,1)/r! |
Ω |
1.4721565731113 |
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 |
4263d1 12789d1 |
Quadratic twists by: -3 -7 |