Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
6240bb |
Isogeny class |
Conductor |
6240 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-5240401920 = -1 · 212 · 39 · 5 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 -3 13+ -3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,179,3419] |
[a1,a2,a3,a4,a6] |
Generators |
[17:-108:1] |
Generators of the group modulo torsion |
j |
153990656/1279395 |
j-invariant |
L |
4.2704324490309 |
L(r)(E,1)/r! |
Ω |
0.99432526305987 |
Real period |
R |
0.2386002407686 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6240u1 12480cf1 18720q1 31200e1 |
Quadratic twists by: -4 8 -3 5 |