Atkin-Lehner |
2- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
806f |
Isogeny class |
Conductor |
806 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
deg |
1040 |
Modular degree for the optimal curve |
Δ |
-11418002336 = -1 · 25 · 135 · 312 |
Discriminant |
Eigenvalues |
2- -1 1 3 2 13- 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-14105,638919] |
[a1,a2,a3,a4,a6] |
j |
-310345110881179921/11418002336 |
j-invariant |
L |
2.3870367991787 |
L(r)(E,1)/r! |
Ω |
1.1935183995893 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
5 |
Number of elements in the torsion subgroup |
Twists |
6448i1 25792h1 7254f1 20150c1 |
Quadratic twists by: -4 8 -3 5 |