Atkin-Lehner |
2- 3- 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
38352s |
Isogeny class |
Conductor |
38352 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-95689791516966912 = -1 · 230 · 38 · 172 · 47 |
Discriminant |
Eigenvalues |
2- 3- 4 0 2 4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-216656,41498772] |
[a1,a2,a3,a4,a6] |
j |
-274585709373920209/23361765507072 |
j-invariant |
L |
5.2892753467228 |
L(r)(E,1)/r! |
Ω |
0.33057970916673 |
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 |
4794c1 115056be1 |
Quadratic twists by: -4 -3 |