Atkin-Lehner |
2+ 5+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
32110i |
Isogeny class |
Conductor |
32110 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
454272 |
Modular degree for the optimal curve |
Δ |
-251856860108750000 = -1 · 24 · 57 · 139 · 19 |
Discriminant |
Eigenvalues |
2+ 1 5+ -3 2 13- -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-364199,-88005734] |
[a1,a2,a3,a4,a6] |
j |
-503788296493/23750000 |
j-invariant |
L |
0.38761597757312 |
L(r)(E,1)/r! |
Ω |
0.096903994391721 |
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 |
32110bk1 |
Quadratic twists by: 13 |