Atkin-Lehner |
2+ 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
18240l |
Isogeny class |
Conductor |
18240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-57378078720 = -1 · 226 · 32 · 5 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 4 6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,799,-7839] |
[a1,a2,a3,a4,a6] |
j |
214921799/218880 |
j-invariant |
L |
1.2106136732244 |
L(r)(E,1)/r! |
Ω |
0.6053068366122 |
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 |
18240ck1 570e1 54720cp1 91200dy1 |
Quadratic twists by: -4 8 -3 5 |