Atkin-Lehner |
2- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
94192y |
Isogeny class |
Conductor |
94192 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18816 |
Modular degree for the optimal curve |
Δ |
-43705088 = -1 · 28 · 7 · 293 |
Discriminant |
Eigenvalues |
2- 1 -2 7+ -2 -2 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-309,2015] |
[a1,a2,a3,a4,a6] |
Generators |
[19:58:1] |
Generators of the group modulo torsion |
j |
-524288/7 |
j-invariant |
L |
4.0698087299584 |
L(r)(E,1)/r! |
Ω |
2.0337250133063 |
Real period |
R |
0.50028994880358 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999970716 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23548d1 94192ba1 |
Quadratic twists by: -4 29 |