Atkin-Lehner |
2- 3+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
9996a |
Isogeny class |
Conductor |
9996 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
105840 |
Modular degree for the optimal curve |
Δ |
359991318574750464 = 28 · 315 · 78 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ 2 5 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-186020,11030664] |
[a1,a2,a3,a4,a6] |
j |
482370434896/243931419 |
j-invariant |
L |
2.4055962457864 |
L(r)(E,1)/r! |
Ω |
0.26728847175404 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39984cr1 29988v1 9996n1 |
Quadratic twists by: -4 -3 -7 |