Atkin-Lehner |
3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
12789n |
Isogeny class |
Conductor |
12789 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2016 |
Modular degree for the optimal curve |
Δ |
1035909 = 36 · 72 · 29 |
Discriminant |
Eigenvalues |
0 3- -3 7- -6 1 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-84,292] |
[a1,a2,a3,a4,a6] |
Generators |
[2:11:1] [4:4:1] |
Generators of the group modulo torsion |
j |
1835008/29 |
j-invariant |
L |
4.7336095422808 |
L(r)(E,1)/r! |
Ω |
2.7743936879622 |
Real period |
R |
0.85308901235233 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1421c1 12789c1 |
Quadratic twists by: -3 -7 |