Atkin-Lehner |
2- 3- 5- 11+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
66330bs |
Isogeny class |
Conductor |
66330 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-13463725584375000 = -1 · 23 · 312 · 58 · 112 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11+ -6 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9077,-5590299] |
[a1,a2,a3,a4,a6] |
Generators |
[401:7224:1] |
Generators of the group modulo torsion |
j |
-113443164881929/18468759375000 |
j-invariant |
L |
9.2245680051141 |
L(r)(E,1)/r! |
Ω |
0.17694887302734 |
Real period |
R |
1.0860679518216 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000032 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22110a2 |
Quadratic twists by: -3 |