Atkin-Lehner |
2- 3+ 19- 71- |
Signs for the Atkin-Lehner involutions |
Class |
64752k |
Isogeny class |
Conductor |
64752 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
273408 |
Modular degree for the optimal curve |
Δ |
-55793108054016 = -1 · 212 · 312 · 192 · 71 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 -4 6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4656,336384] |
[a1,a2,a3,a4,a6] |
j |
2724641702063/13621364271 |
j-invariant |
L |
1.8066614527376 |
L(r)(E,1)/r! |
Ω |
0.4516653630898 |
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 |
4047a1 |
Quadratic twists by: -4 |