Atkin-Lehner |
2- 79- |
Signs for the Atkin-Lehner involutions |
Class |
2528d |
Isogeny class |
Conductor |
2528 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
256 |
Modular degree for the optimal curve |
Δ |
323584 = 212 · 79 |
Discriminant |
Eigenvalues |
2- 1 -3 1 6 -5 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17,-1] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:4:1] |
Generators of the group modulo torsion |
j |
140608/79 |
j-invariant |
L |
3.2753315501215 |
L(r)(E,1)/r! |
Ω |
2.6338629573655 |
Real period |
R |
0.31088667132074 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2528b1 5056u1 22752h1 63200h1 |
Quadratic twists by: -4 8 -3 5 |