Atkin-Lehner |
2- 11+ 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
43384d |
Isogeny class |
Conductor |
43384 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
8320 |
Modular degree for the optimal curve |
Δ |
-94403584 = -1 · 210 · 11 · 172 · 29 |
Discriminant |
Eigenvalues |
2- 0 2 2 11+ -4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,61,430] |
[a1,a2,a3,a4,a6] |
j |
24513948/92191 |
j-invariant |
L |
1.3524123360052 |
L(r)(E,1)/r! |
Ω |
1.3524123359975 |
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 |
86768e1 |
Quadratic twists by: -4 |