Atkin-Lehner |
2- 3+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
11628a |
Isogeny class |
Conductor |
11628 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-805959936 = -1 · 28 · 33 · 17 · 193 |
Discriminant |
Eigenvalues |
2- 3+ -3 -1 0 2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,201,814] |
[a1,a2,a3,a4,a6] |
Generators |
[11:66:1] |
Generators of the group modulo torsion |
j |
129929616/116603 |
j-invariant |
L |
3.4328045806646 |
L(r)(E,1)/r! |
Ω |
1.0370272259041 |
Real period |
R |
1.6551178671667 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
46512o1 11628b2 |
Quadratic twists by: -4 -3 |