Atkin-Lehner |
2- 5+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
3230c |
Isogeny class |
Conductor |
3230 |
Conductor |
∏ cp |
17 |
Product of Tamagawa factors cp |
deg |
8840 |
Modular degree for the optimal curve |
Δ |
-132300800000 = -1 · 217 · 55 · 17 · 19 |
Discriminant |
Eigenvalues |
2- 3 5+ 4 -3 4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1938,-36719] |
[a1,a2,a3,a4,a6] |
j |
-804590545599729/132300800000 |
j-invariant |
L |
6.0617747731667 |
L(r)(E,1)/r! |
Ω |
0.35657498665686 |
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 |
25840t1 103360ba1 29070r1 16150h1 |
Quadratic twists by: -4 8 -3 5 |