Atkin-Lehner |
5+ 7- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
117845d |
Isogeny class |
Conductor |
117845 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
417792 |
Modular degree for the optimal curve |
Δ |
25136060032265 = 5 · 710 · 13 · 372 |
Discriminant |
Eigenvalues |
1 -2 5+ 7- -2 13+ 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-90039,-10403683] |
[a1,a2,a3,a4,a6] |
j |
686152305984601/213652985 |
j-invariant |
L |
0.55122764948052 |
L(r)(E,1)/r! |
Ω |
0.27561356087887 |
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 |
16835e1 |
Quadratic twists by: -7 |