Atkin-Lehner |
2- 3+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
25536by |
Isogeny class |
Conductor |
25536 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
25536 = 26 · 3 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 4 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-532,-4550] |
[a1,a2,a3,a4,a6] |
Generators |
[346:1815:8] |
Generators of the group modulo torsion |
j |
260672203072/399 |
j-invariant |
L |
5.3829773301705 |
L(r)(E,1)/r! |
Ω |
0.99392514817805 |
Real period |
R |
5.4158779864238 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25536de1 12768h2 76608el1 |
Quadratic twists by: -4 8 -3 |