Atkin-Lehner |
2- 3+ 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
38376p |
Isogeny class |
Conductor |
38376 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
28416 |
Modular degree for the optimal curve |
Δ |
-34914177792 = -1 · 28 · 39 · 132 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 5 13- -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2484,-48492] |
[a1,a2,a3,a4,a6] |
j |
-336393216/6929 |
j-invariant |
L |
2.7017289630554 |
L(r)(E,1)/r! |
Ω |
0.33771612038536 |
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 |
76752g1 38376b1 |
Quadratic twists by: -4 -3 |