Atkin-Lehner |
2+ 3- 5+ 19+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
38190h |
Isogeny class |
Conductor |
38190 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36096 |
Modular degree for the optimal curve |
Δ |
-22168836720 = -1 · 24 · 32 · 5 · 193 · 672 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 4 2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,446,6212] |
[a1,a2,a3,a4,a6] |
j |
9842996005991/22168836720 |
j-invariant |
L |
1.6769278137281 |
L(r)(E,1)/r! |
Ω |
0.83846390687311 |
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 |
114570bs1 |
Quadratic twists by: -3 |