Atkin-Lehner |
2- 3- 7+ 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
74214q |
Isogeny class |
Conductor |
74214 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
3249293767263936 = 26 · 310 · 72 · 19 · 314 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 4 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2861654,-1862543707] |
[a1,a2,a3,a4,a6] |
j |
3555063880047404055577/4457193096384 |
j-invariant |
L |
5.5716849927624 |
L(r)(E,1)/r! |
Ω |
0.1160767710298 |
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 |
24738d4 |
Quadratic twists by: -3 |