Atkin-Lehner |
2- 3+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
38592bj |
Isogeny class |
Conductor |
38592 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-1382821134336 = -1 · 220 · 39 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 1 1 2 0 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13932,635472] |
[a1,a2,a3,a4,a6] |
j |
-57960603/268 |
j-invariant |
L |
3.4365873073358 |
L(r)(E,1)/r! |
Ω |
0.85914682683824 |
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 |
38592g1 9648h1 38592bk1 |
Quadratic twists by: -4 8 -3 |