Atkin-Lehner |
2+ 3+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
25536i |
Isogeny class |
Conductor |
25536 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
2998960914432 = 230 · 3 · 72 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 0 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5089,-110495] |
[a1,a2,a3,a4,a6] |
j |
55611739513/11440128 |
j-invariant |
L |
1.1468386218568 |
L(r)(E,1)/r! |
Ω |
0.57341931092849 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25536df1 798b1 76608bt1 |
Quadratic twists by: -4 8 -3 |