Atkin-Lehner |
2- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
64736n |
Isogeny class |
Conductor |
64736 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
1286822078528 = 26 · 72 · 177 |
Discriminant |
Eigenvalues |
2- 2 0 7+ 6 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-80438,-8753992] |
[a1,a2,a3,a4,a6] |
j |
37259704000/833 |
j-invariant |
L |
5.1027803702704 |
L(r)(E,1)/r! |
Ω |
0.28348779853523 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64736t1 129472cg1 3808b1 |
Quadratic twists by: -4 8 17 |