Atkin-Lehner |
2+ 3+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
25536k |
Isogeny class |
Conductor |
25536 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
2186242506620928 = 230 · 37 · 72 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7+ 6 4 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-64961,5984193] |
[a1,a2,a3,a4,a6] |
j |
115650783909361/8339853312 |
j-invariant |
L |
3.6263581390041 |
L(r)(E,1)/r! |
Ω |
0.45329476737554 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25536dk1 798h1 76608bz1 |
Quadratic twists by: -4 8 -3 |