Atkin-Lehner |
2- 3- 5+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
28710bd |
Isogeny class |
Conductor |
28710 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-112554684000000 = -1 · 28 · 36 · 56 · 113 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11+ -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1237,-510469] |
[a1,a2,a3,a4,a6] |
j |
287365339799/154396000000 |
j-invariant |
L |
2.2165481260143 |
L(r)(E,1)/r! |
Ω |
0.27706851575188 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3190c1 |
Quadratic twists by: -3 |