Atkin-Lehner |
2+ 23+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
122176g |
Isogeny class |
Conductor |
122176 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
70656 |
Modular degree for the optimal curve |
Δ |
16545562624 = 214 · 233 · 83 |
Discriminant |
Eigenvalues |
2+ 0 1 -2 0 4 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2992,-62688] |
[a1,a2,a3,a4,a6] |
j |
180795884544/1009861 |
j-invariant |
L |
2.5829437816105 |
L(r)(E,1)/r! |
Ω |
0.64573633365765 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122176bk1 15272e1 |
Quadratic twists by: -4 8 |