Atkin-Lehner |
2+ 3+ 5- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
111630d |
Isogeny class |
Conductor |
111630 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
5.1548839367834E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 4 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-302641339612,-64082780055173696] |
[a1,a2,a3,a4,a6] |
j |
59501710967615564842432531441/100055250000 |
j-invariant |
L |
0.61792853792887 |
L(r)(E,1)/r! |
Ω |
0.0064367626028805 |
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 |
1830g5 |
Quadratic twists by: 61 |