Atkin-Lehner |
2+ 5+ 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
39160c |
Isogeny class |
Conductor |
39160 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
105984 |
Modular degree for the optimal curve |
Δ |
1985192704000 = 211 · 53 · 11 · 893 |
Discriminant |
Eigenvalues |
2+ -3 5+ 1 11+ 6 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8563,-297362] |
[a1,a2,a3,a4,a6] |
j |
33905612315538/969332375 |
j-invariant |
L |
1.4914996315444 |
L(r)(E,1)/r! |
Ω |
0.49716654385522 |
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 |
78320n1 |
Quadratic twists by: -4 |