Atkin-Lehner |
2- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
7360x |
Isogeny class |
Conductor |
7360 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
576 |
Modular degree for the optimal curve |
Δ |
-7360 = -1 · 26 · 5 · 23 |
Discriminant |
Eigenvalues |
2- -2 5- 5 -2 -4 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,5,3] |
[a1,a2,a3,a4,a6] |
Generators |
[2:5:1] |
Generators of the group modulo torsion |
j |
175616/115 |
j-invariant |
L |
3.5383630121993 |
L(r)(E,1)/r! |
Ω |
2.6167705201853 |
Real period |
R |
1.3521869743277 |
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 |
7360ba1 3680f1 66240fh1 36800cw1 |
Quadratic twists by: -4 8 -3 5 |