Atkin-Lehner |
2- 5- 17- 41- |
Signs for the Atkin-Lehner involutions |
Class |
55760z |
Isogeny class |
Conductor |
55760 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
6970000 = 24 · 54 · 17 · 41 |
Discriminant |
Eigenvalues |
2- 1 5- -1 4 2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-90,275] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:25:1] |
Generators of the group modulo torsion |
j |
5095042816/435625 |
j-invariant |
L |
8.4997132860485 |
L(r)(E,1)/r! |
Ω |
2.3045268291341 |
Real period |
R |
0.92206707887755 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998939 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13940j1 |
Quadratic twists by: -4 |