Atkin-Lehner |
3- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
13671h |
Isogeny class |
Conductor |
13671 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
28224 |
Modular degree for the optimal curve |
Δ |
284919599566413 = 313 · 78 · 31 |
Discriminant |
Eigenvalues |
0 3- 2 7+ -1 4 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-16464,-40217] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:515:1] |
Generators of the group modulo torsion |
j |
117440512/67797 |
j-invariant |
L |
4.5163813725425 |
L(r)(E,1)/r! |
Ω |
0.46001024809521 |
Real period |
R |
4.9090008225293 |
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 |
4557a1 13671i1 |
Quadratic twists by: -3 -7 |