Atkin-Lehner |
2- 3+ 7+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
79296bg |
Isogeny class |
Conductor |
79296 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5160960 |
Modular degree for the optimal curve |
Δ |
2.4223129213457E+21 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ -4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17145857,27229609377] |
[a1,a2,a3,a4,a6] |
j |
2126480513962938771457/9240390477545472 |
j-invariant |
L |
2.6241704362536 |
L(r)(E,1)/r! |
Ω |
0.14578724579838 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79296bc1 19824v1 |
Quadratic twists by: -4 8 |