Atkin-Lehner |
2- 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
3480s |
Isogeny class |
Conductor |
3480 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
71510700960000 = 28 · 312 · 54 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-176180,28401600] |
[a1,a2,a3,a4,a6] |
Generators |
[-80:6480:1] |
Generators of the group modulo torsion |
j |
2362414115152710736/279338675625 |
j-invariant |
L |
4.1815082216325 |
L(r)(E,1)/r! |
Ω |
0.59156980082117 |
Real period |
R |
1.1780825119392 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
6960j2 27840d2 10440d2 17400d2 |
Quadratic twists by: -4 8 -3 5 |