Atkin-Lehner |
2- 3- 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
64386bm |
Isogeny class |
Conductor |
64386 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1048320 |
Modular degree for the optimal curve |
Δ |
-10884132946877526 = -1 · 2 · 311 · 78 · 732 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 5 4 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-619394,187850247] |
[a1,a2,a3,a4,a6] |
j |
-6253342106137/2589894 |
j-invariant |
L |
4.7767942283633 |
L(r)(E,1)/r! |
Ω |
0.39806618448089 |
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 |
21462b1 64386bx1 |
Quadratic twists by: -3 -7 |