Atkin-Lehner |
2- 3- 103- |
Signs for the Atkin-Lehner involutions |
Class |
19776bh |
Isogeny class |
Conductor |
19776 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
118272 |
Modular degree for the optimal curve |
Δ |
-120936078508032 = -1 · 229 · 37 · 103 |
Discriminant |
Eigenvalues |
2- 3- 4 4 -3 6 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11841,-729153] |
[a1,a2,a3,a4,a6] |
j |
-700463661841/461334528 |
j-invariant |
L |
6.2236714737941 |
L(r)(E,1)/r! |
Ω |
0.22227398120693 |
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 |
19776c1 4944h1 59328br1 |
Quadratic twists by: -4 8 -3 |