Atkin-Lehner |
2- 3- 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
129456cb |
Isogeny class |
Conductor |
129456 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-78990555888 = -1 · 24 · 311 · 29 · 312 |
Discriminant |
Eigenvalues |
2- 3- -2 3 3 -1 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3981,-97621] |
[a1,a2,a3,a4,a6] |
Generators |
[31486:191115:343] |
Generators of the group modulo torsion |
j |
-598208712448/6772167 |
j-invariant |
L |
7.1241986109839 |
L(r)(E,1)/r! |
Ω |
0.30031609893481 |
Real period |
R |
5.9305832937968 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000007605 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32364o1 43152t1 |
Quadratic twists by: -4 -3 |