Atkin-Lehner |
2+ 5- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
20650p |
Isogeny class |
Conductor |
20650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
64320 |
Modular degree for the optimal curve |
Δ |
-55431921664000 = -1 · 230 · 53 · 7 · 59 |
Discriminant |
Eigenvalues |
2+ -2 5- 7- 3 -2 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8291,-461922] |
[a1,a2,a3,a4,a6] |
j |
-504149271613469/443455373312 |
j-invariant |
L |
0.96519183534645 |
L(r)(E,1)/r! |
Ω |
0.24129795883661 |
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 |
20650be1 |
Quadratic twists by: 5 |