Atkin-Lehner |
2- 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
33728p |
Isogeny class |
Conductor |
33728 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
37888 |
Modular degree for the optimal curve |
Δ |
-2651290624 = -1 · 210 · 174 · 31 |
Discriminant |
Eigenvalues |
2- 2 3 -5 -6 6 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,271,-1879] |
[a1,a2,a3,a4,a6] |
j |
2141549312/2589151 |
j-invariant |
L |
3.0896257188866 |
L(r)(E,1)/r! |
Ω |
0.77240642972394 |
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 |
33728g1 8432f1 |
Quadratic twists by: -4 8 |