Atkin-Lehner |
2- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
9196c |
Isogeny class |
Conductor |
9196 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
3024 |
Modular degree for the optimal curve |
Δ |
-1353062656 = -1 · 28 · 114 · 192 |
Discriminant |
Eigenvalues |
2- 0 -3 0 11- -1 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,121,1694] |
[a1,a2,a3,a4,a6] |
Generators |
[55:418:1] |
Generators of the group modulo torsion |
j |
52272/361 |
j-invariant |
L |
3.233573161751 |
L(r)(E,1)/r! |
Ω |
1.1068979901074 |
Real period |
R |
0.1622940460965 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36784bb1 82764j1 9196f1 |
Quadratic twists by: -4 -3 -11 |