Atkin-Lehner |
2+ 3- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
106128o |
Isogeny class |
Conductor |
106128 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-1594890619508736 = -1 · 211 · 38 · 116 · 67 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 11- 2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,13749,-1818470] |
[a1,a2,a3,a4,a6] |
Generators |
[207:3146:1] |
Generators of the group modulo torsion |
j |
192521646574/1068251283 |
j-invariant |
L |
5.1647837657808 |
L(r)(E,1)/r! |
Ω |
0.23820872888223 |
Real period |
R |
1.8068130943159 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999215528 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53064q2 35376g2 |
Quadratic twists by: -4 -3 |