Atkin-Lehner |
2+ 3- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
66a |
Isogeny class |
Conductor |
66 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
4 |
Modular degree for the optimal curve |
Δ |
1188 = 22 · 33 · 11 |
Discriminant |
Eigenvalues |
2+ 3- 0 2 11+ -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-6,4] |
[a1,a2,a3,a4,a6] |
j |
18609625/1188 |
j-invariant |
L |
0.79709145734732 |
L(r)(E,1)/r! |
Ω |
4.7825487440839 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
528g1 2112e1 198b1 1650m1 |
Quadratic twists by: -4 8 -3 5 |