Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
6240b |
Isogeny class |
Conductor |
6240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
21902400 = 26 · 34 · 52 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 -4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-86,240] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:20:1] |
Generators of the group modulo torsion |
j |
1111934656/342225 |
j-invariant |
L |
2.5008457985792 |
L(r)(E,1)/r! |
Ω |
1.988846767737 |
Real period |
R |
1.2574351323329 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6240k1 12480dh2 18720bn1 31200cg1 |
Quadratic twists by: -4 8 -3 5 |