Atkin-Lehner |
2+ 3- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
17784h |
Isogeny class |
Conductor |
17784 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
159744 |
Modular degree for the optimal curve |
Δ |
-106122617065460736 = -1 · 210 · 319 · 13 · 193 |
Discriminant |
Eigenvalues |
2+ 3- 1 3 6 13- 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-97347,19553038] |
[a1,a2,a3,a4,a6] |
j |
-136667088859396/142160998941 |
j-invariant |
L |
3.653499914763 |
L(r)(E,1)/r! |
Ω |
0.30445832623025 |
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 |
35568p1 5928n1 |
Quadratic twists by: -4 -3 |