Atkin-Lehner |
11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
43681m |
Isogeny class |
Conductor |
43681 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-916791127892651 = -1 · 117 · 196 |
Discriminant |
Eigenvalues |
-2 1 1 2 11- 4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-14560,1601232] |
[a1,a2,a3,a4,a6] |
Generators |
[120:1263:1] |
Generators of the group modulo torsion |
j |
-4096/11 |
j-invariant |
L |
4.0864192213838 |
L(r)(E,1)/r! |
Ω |
0.43896521672178 |
Real period |
R |
2.327302406731 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999821 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3971b1 121d1 |
Quadratic twists by: -11 -19 |