Atkin-Lehner |
2- 3- 5- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
39780bb |
Isogeny class |
Conductor |
39780 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
117504 |
Modular degree for the optimal curve |
Δ |
272274210000 = 24 · 36 · 54 · 133 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 0 13- 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-111972,-14421539] |
[a1,a2,a3,a4,a6] |
j |
13310810713145344/23343125 |
j-invariant |
L |
1.5659341375761 |
L(r)(E,1)/r! |
Ω |
0.26098902292794 |
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 |
4420a1 |
Quadratic twists by: -3 |