Atkin-Lehner |
2- 3+ 7+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
126672bg |
Isogeny class |
Conductor |
126672 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
34372676222976 = 219 · 3 · 73 · 133 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ 3 13- 6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-60437104,180863929792] |
[a1,a2,a3,a4,a6] |
j |
5960390431020838621741297/8391766656 |
j-invariant |
L |
3.5363778684892 |
L(r)(E,1)/r! |
Ω |
0.2946981987871 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15834w2 |
Quadratic twists by: -4 |