Atkin-Lehner |
11- 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
85063a |
Isogeny class |
Conductor |
85063 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1123200 |
Modular degree for the optimal curve |
Δ |
2936605463099202653 = 1115 · 19 · 37 |
Discriminant |
Eigenvalues |
0 0 4 -2 11- 0 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-461978,88370081] |
[a1,a2,a3,a4,a6] |
j |
6155048569503744/1657637226773 |
j-invariant |
L |
0.9480994746047 |
L(r)(E,1)/r! |
Ω |
0.23702486801242 |
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 |
7733a1 |
Quadratic twists by: -11 |