Atkin-Lehner |
2+ 3- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
25536bb |
Isogeny class |
Conductor |
25536 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
287268332295168 = 210 · 316 · 73 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 4 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17437,-352957] |
[a1,a2,a3,a4,a6] |
j |
572616640141312/280535480757 |
j-invariant |
L |
3.4931136904657 |
L(r)(E,1)/r! |
Ω |
0.4366392113082 |
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 |
25536cm1 3192c1 76608bk1 |
Quadratic twists by: -4 8 -3 |