Atkin-Lehner |
2+ 3- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
116928bq |
Isogeny class |
Conductor |
116928 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
9546937344 = 210 · 38 · 72 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -2 2 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3216,-70040] |
[a1,a2,a3,a4,a6] |
Generators |
[78:392:1] |
Generators of the group modulo torsion |
j |
4927700992/12789 |
j-invariant |
L |
3.8563626745716 |
L(r)(E,1)/r! |
Ω |
0.63407157461638 |
Real period |
R |
3.0409522107896 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998996841 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116928ew1 7308b1 38976p1 |
Quadratic twists by: -4 8 -3 |