Atkin-Lehner |
2- 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
12240bt |
Isogeny class |
Conductor |
12240 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
-50761728000 = -1 · 215 · 36 · 53 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 5 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-363,11162] |
[a1,a2,a3,a4,a6] |
j |
-1771561/17000 |
j-invariant |
L |
1.9220603485044 |
L(r)(E,1)/r! |
Ω |
0.96103017425221 |
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 |
1530m1 48960fw1 1360i1 61200ex1 |
Quadratic twists by: -4 8 -3 5 |