Atkin-Lehner |
2+ 3+ 5- 17+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
37230f |
Isogeny class |
Conductor |
37230 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
288576 |
Modular degree for the optimal curve |
Δ |
-19478058714632250 = -1 · 2 · 32 · 53 · 179 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 1 1 0 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-65792,9314946] |
[a1,a2,a3,a4,a6] |
j |
-31495847002497862921/19478058714632250 |
j-invariant |
L |
2.1406629814936 |
L(r)(E,1)/r! |
Ω |
0.35677716358179 |
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 |
111690bn1 |
Quadratic twists by: -3 |