Atkin-Lehner |
2+ 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
15840f |
Isogeny class |
Conductor |
15840 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
-20528640 = -1 · 29 · 36 · 5 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 11+ -2 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3,218] |
[a1,a2,a3,a4,a6] |
j |
-8/55 |
j-invariant |
L |
1.7292472314592 |
L(r)(E,1)/r! |
Ω |
1.7292472314592 |
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 |
15840n1 31680ec1 1760m1 79200do1 |
Quadratic twists by: -4 8 -3 5 |