Atkin-Lehner |
2- 3+ 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
38064y |
Isogeny class |
Conductor |
38064 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
38016 |
Modular degree for the optimal curve |
Δ |
-63932903424 = -1 · 212 · 39 · 13 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 3 1 6 13- 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-949,-16259] |
[a1,a2,a3,a4,a6] |
j |
-23100424192/15608619 |
j-invariant |
L |
3.7573123774102 |
L(r)(E,1)/r! |
Ω |
0.41747915304392 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2379a1 114192cd1 |
Quadratic twists by: -4 -3 |