Atkin-Lehner |
2- 3- 5- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
39780ba |
Isogeny class |
Conductor |
39780 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
58752 |
Modular degree for the optimal curve |
Δ |
-5567927040 = -1 · 28 · 39 · 5 · 13 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 6 13- 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13152,-580556] |
[a1,a2,a3,a4,a6] |
j |
-1348129521664/29835 |
j-invariant |
L |
4.0123012897844 |
L(r)(E,1)/r! |
Ω |
0.22290562720995 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13260k1 |
Quadratic twists by: -3 |