Atkin-Lehner |
2+ 3- 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
52560a |
Isogeny class |
Conductor |
52560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-122611968000 = -1 · 211 · 38 · 53 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 2 -4 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2883,-61918] |
[a1,a2,a3,a4,a6] |
j |
-1775007362/82125 |
j-invariant |
L |
1.2995607943218 |
L(r)(E,1)/r! |
Ω |
0.32489019824105 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26280a1 17520c1 |
Quadratic twists by: -4 -3 |