Atkin-Lehner |
2- 3- 7+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
37674q |
Isogeny class |
Conductor |
37674 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-32795230487292 = -1 · 22 · 316 · 72 · 132 · 23 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ 4 13+ 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-18743,-1020661] |
[a1,a2,a3,a4,a6] |
j |
-998830456240681/44986598748 |
j-invariant |
L |
6.5113351164343 |
L(r)(E,1)/r! |
Ω |
0.20347922238719 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12558h1 |
Quadratic twists by: -3 |