Atkin-Lehner |
2+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
34496i |
Isogeny class |
Conductor |
34496 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
1204224 |
Modular degree for the optimal curve |
Δ |
3681146072857673728 = 215 · 78 · 117 |
Discriminant |
Eigenvalues |
2+ 3 0 7+ 11- -1 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4067980,-3156681136] |
[a1,a2,a3,a4,a6] |
j |
39411764973000/19487171 |
j-invariant |
L |
4.4649544331127 |
L(r)(E,1)/r! |
Ω |
0.10630843888319 |
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 |
34496c1 17248w1 34496bv1 |
Quadratic twists by: -4 8 -7 |