Atkin-Lehner |
2+ 3- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
126126cg |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
5245912548998529408 = 27 · 38 · 76 · 11 · 136 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11+ 13- -8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3251061,-2252737355] |
[a1,a2,a3,a4,a6] |
j |
44308125149913793/61165323648 |
j-invariant |
L |
2.6986114201859 |
L(r)(E,1)/r! |
Ω |
0.1124421838119 |
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 |
42042cp2 2574f2 |
Quadratic twists by: -3 -7 |