Atkin-Lehner |
2- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
1360g |
Isogeny class |
Conductor |
1360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
256 |
Modular degree for the optimal curve |
Δ |
1740800 = 212 · 52 · 17 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 -2 2 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-136,564] |
[a1,a2,a3,a4,a6] |
Generators |
[4:10:1] |
Generators of the group modulo torsion |
j |
68417929/425 |
j-invariant |
L |
1.976919324059 |
L(r)(E,1)/r! |
Ω |
2.6659289212557 |
Real period |
R |
0.37077494983021 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85a1 5440x1 12240bx1 6800l1 |
Quadratic twists by: -4 8 -3 5 |