Atkin-Lehner |
2+ 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
122728f |
Isogeny class |
Conductor |
122728 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
759552 |
Modular degree for the optimal curve |
Δ |
-13371757358701312 = -1 · 28 · 239 · 29 |
Discriminant |
Eigenvalues |
2+ -2 0 -4 0 3 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-81113,-10515893] |
[a1,a2,a3,a4,a6] |
Generators |
[1763:73002:1] |
Generators of the group modulo torsion |
j |
-128000/29 |
j-invariant |
L |
2.2330049168972 |
L(r)(E,1)/r! |
Ω |
0.13976341441945 |
Real period |
R |
1.9971293964322 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999682198 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122728e1 |
Quadratic twists by: -23 |