Atkin-Lehner |
2+ 3- 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
52560c |
Isogeny class |
Conductor |
52560 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
81920 |
Modular degree for the optimal curve |
Δ |
2234603116800 = 28 · 314 · 52 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -2 -2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4503,-91402] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:90:1] |
Generators of the group modulo torsion |
j |
54108072016/11973825 |
j-invariant |
L |
4.9733548749669 |
L(r)(E,1)/r! |
Ω |
0.59200776015023 |
Real period |
R |
2.1002067919449 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999208 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26280b1 17520d1 |
Quadratic twists by: -4 -3 |