Atkin-Lehner |
2- 3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
5160l |
Isogeny class |
Conductor |
5160 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
4800 |
Modular degree for the optimal curve |
Δ |
-325005696000 = -1 · 210 · 310 · 53 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1144,-22656] |
[a1,a2,a3,a4,a6] |
j |
161555647964/317388375 |
j-invariant |
L |
2.5164928127749 |
L(r)(E,1)/r! |
Ω |
0.50329856255498 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10320a1 41280n1 15480f1 25800b1 |
Quadratic twists by: -4 8 -3 5 |