Atkin-Lehner |
2- 3+ 7+ 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
19866o |
Isogeny class |
Conductor |
19866 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
-1833128951808 = -1 · 224 · 3 · 7 · 112 · 43 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,911,64655] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:136:1] |
Generators of the group modulo torsion |
j |
83608233481583/1833128951808 |
j-invariant |
L |
5.4034959381703 |
L(r)(E,1)/r! |
Ω |
0.62495883662934 |
Real period |
R |
2.8820543164696 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
59598f1 |
Quadratic twists by: -3 |