Atkin-Lehner |
2- 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
57330dy |
Isogeny class |
Conductor |
57330 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
870912 |
Modular degree for the optimal curve |
Δ |
-180966412390654800 = -1 · 24 · 36 · 52 · 710 · 133 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 3 13+ -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-162518,32518581] |
[a1,a2,a3,a4,a6] |
j |
-2305248169/878800 |
j-invariant |
L |
4.8160979457274 |
L(r)(E,1)/r! |
Ω |
0.30100612161534 |
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 |
6370i1 57330et1 |
Quadratic twists by: -3 -7 |