Atkin-Lehner |
2- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
28880x |
Isogeny class |
Conductor |
28880 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6048 |
Modular degree for the optimal curve |
Δ |
462080 = 28 · 5 · 192 |
Discriminant |
Eigenvalues |
2- 2 5+ 4 3 -6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-101,425] |
[a1,a2,a3,a4,a6] |
Generators |
[1:18:1] |
Generators of the group modulo torsion |
j |
1245184/5 |
j-invariant |
L |
8.4687339647343 |
L(r)(E,1)/r! |
Ω |
2.9757102645616 |
Real period |
R |
1.4229769049746 |
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 |
7220e1 115520cy1 28880r1 |
Quadratic twists by: -4 8 -19 |