Atkin-Lehner |
2- 3- 5- 73- |
Signs for the Atkin-Lehner involutions |
Class |
8760h |
Isogeny class |
Conductor |
8760 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
3065299200 = 28 · 38 · 52 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -2 -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-500,-3552] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:30:1] |
Generators of the group modulo torsion |
j |
54108072016/11973825 |
j-invariant |
L |
5.5911640306647 |
L(r)(E,1)/r! |
Ω |
1.0253875190553 |
Real period |
R |
0.34079579224693 |
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 |
17520d1 70080f1 26280b1 43800c1 |
Quadratic twists by: -4 8 -3 5 |