Atkin-Lehner |
3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
12789n |
Isogeny class |
Conductor |
12789 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
871199469 = 36 · 72 · 293 |
Discriminant |
Eigenvalues |
0 3- -3 7- -6 1 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-714,-7205] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:4:1] [37:130:1] |
Generators of the group modulo torsion |
j |
1126924288/24389 |
j-invariant |
L |
4.7336095422808 |
L(r)(E,1)/r! |
Ω |
0.92479789598739 |
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 |
1421c2 12789c2 |
Quadratic twists by: -3 -7 |