Atkin-Lehner |
2+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
100672g |
Isogeny class |
Conductor |
100672 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
46004687872 = 210 · 112 · 135 |
Discriminant |
Eigenvalues |
2+ 1 0 -4 11- 13+ 1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1613,-23245] |
[a1,a2,a3,a4,a6] |
j |
3748096000/371293 |
j-invariant |
L |
1.5162085060425 |
L(r)(E,1)/r! |
Ω |
0.75810422291962 |
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 |
100672cv1 12584f1 100672be1 |
Quadratic twists by: -4 8 -11 |