Atkin-Lehner |
2- 3+ 7+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
126672be |
Isogeny class |
Conductor |
126672 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-233623027369525248 = -1 · 214 · 38 · 78 · 13 · 29 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,63856,-22431552] |
[a1,a2,a3,a4,a6] |
j |
7030109576481263/57036871916388 |
j-invariant |
L |
1.244166268461 |
L(r)(E,1)/r! |
Ω |
0.15552065495734 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15834v4 |
Quadratic twists by: -4 |