Atkin-Lehner |
2+ 5+ 23- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
42550f |
Isogeny class |
Conductor |
42550 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.4487532276985E+21 |
Discriminant |
Eigenvalues |
2+ 0 5+ -4 4 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-158012417,-764471416259] |
[a1,a2,a3,a4,a6] |
j |
27923981158186969036692321/92720206572704000 |
j-invariant |
L |
0.34065661302372 |
L(r)(E,1)/r! |
Ω |
0.042582076616015 |
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 |
8510h3 |
Quadratic twists by: 5 |