Atkin-Lehner |
2- 3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
116928ex |
Isogeny class |
Conductor |
116928 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
-14552515930176 = -1 · 26 · 38 · 72 · 294 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2769,174760] |
[a1,a2,a3,a4,a6] |
Generators |
[104:1260:1] |
Generators of the group modulo torsion |
j |
50325149888/311910921 |
j-invariant |
L |
6.0316427165852 |
L(r)(E,1)/r! |
Ω |
0.50890499554769 |
Real period |
R |
2.9630494806091 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999761877 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116928du1 58464m2 38976bu1 |
Quadratic twists by: -4 8 -3 |