Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
660c |
Isogeny class |
Conductor |
660 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-2994750000 = -1 · 24 · 32 · 56 · 113 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11+ -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,319,-1356] |
[a1,a2,a3,a4,a6] |
Generators |
[16:90:1] |
Generators of the group modulo torsion |
j |
223673040896/187171875 |
j-invariant |
L |
2.2071066960177 |
L(r)(E,1)/r! |
Ω |
0.78771809748832 |
Real period |
R |
2.8018991858321 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2640p3 10560n3 1980f3 3300c3 |
Quadratic twists by: -4 8 -3 5 |