Atkin-Lehner |
2- 29- 71- |
Signs for the Atkin-Lehner involutions |
Class |
8236c |
Isogeny class |
Conductor |
8236 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
1008 |
Modular degree for the optimal curve |
Δ |
-527104 = -1 · 28 · 29 · 71 |
Discriminant |
Eigenvalues |
2- 0 -1 -4 4 -4 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8,36] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:2:1] [0:6:1] |
Generators of the group modulo torsion |
j |
-221184/2059 |
j-invariant |
L |
4.9859530597463 |
L(r)(E,1)/r! |
Ω |
2.5022781425883 |
Real period |
R |
0.66418849486098 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999972 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32944g1 74124a1 |
Quadratic twists by: -4 -3 |