Atkin-Lehner |
2+ 3- 7- 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
36582b |
Isogeny class |
Conductor |
36582 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
52480 |
Modular degree for the optimal curve |
Δ |
57538510848 = 220 · 32 · 7 · 13 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1485,-18872] |
[a1,a2,a3,a4,a6] |
j |
361811696411593/57538510848 |
j-invariant |
L |
3.1095771312314 |
L(r)(E,1)/r! |
Ω |
0.77739428280661 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109746s1 |
Quadratic twists by: -3 |