Atkin-Lehner |
2- 3+ 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
116058ba |
Isogeny class |
Conductor |
116058 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
134400 |
Modular degree for the optimal curve |
Δ |
-14243566224 = -1 · 24 · 3 · 233 · 293 |
Discriminant |
Eigenvalues |
2- 3+ -1 0 -3 -1 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-9196,335645] |
[a1,a2,a3,a4,a6] |
Generators |
[1533:-113:27] [55:-21:1] |
Generators of the group modulo torsion |
j |
-3526383638861/584016 |
j-invariant |
L |
13.990046336324 |
L(r)(E,1)/r! |
Ω |
1.2114964565541 |
Real period |
R |
0.48115584176834 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116058q1 |
Quadratic twists by: 29 |