Atkin-Lehner |
2- 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360hl |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
911742074880 = 220 · 3 · 5 · 73 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 6 13- -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6305,185055] |
[a1,a2,a3,a4,a6] |
j |
105756712489/3478020 |
j-invariant |
L |
5.2789606045654 |
L(r)(E,1)/r! |
Ω |
0.87982677544703 |
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 |
87360bd1 21840bj1 |
Quadratic twists by: -4 8 |