Atkin-Lehner |
2+ 5- |
Signs for the Atkin-Lehner involutions |
Class |
80a |
Isogeny class |
Conductor |
80 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4 |
Modular degree for the optimal curve |
Δ |
6400 = 28 · 52 |
Discriminant |
Eigenvalues |
2+ 0 5- 4 -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7,6] |
[a1,a2,a3,a4,a6] |
j |
148176/25 |
j-invariant |
L |
1.0094529099892 |
L(r)(E,1)/r! |
Ω |
4.0378116399568 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
40a1 320a2 720d2 400a2 |
Quadratic twists by: -4 8 -3 5 |