Atkin-Lehner |
2- 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
27342bb |
Isogeny class |
Conductor |
27342 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
659327738571952128 = 212 · 38 · 77 · 313 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -6 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1887710,-997040019] |
[a1,a2,a3,a4,a6] |
j |
8673882953919625/7687507968 |
j-invariant |
L |
3.0913636978453 |
L(r)(E,1)/r! |
Ω |
0.12880682074354 |
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 |
9114a3 3906u3 |
Quadratic twists by: -3 -7 |