Atkin-Lehner |
11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
43681l |
Isogeny class |
Conductor |
43681 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
39312 |
Modular degree for the optimal curve |
Δ |
-688798743721 = -1 · 114 · 196 |
Discriminant |
Eigenvalues |
-1 -2 1 -2 11- -1 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-910,41229] |
[a1,a2,a3,a4,a6] |
Generators |
[11:-186:1] |
Generators of the group modulo torsion |
j |
-121 |
j-invariant |
L |
1.5909575517397 |
L(r)(E,1)/r! |
Ω |
0.7759475416787 |
Real period |
R |
1.0251708178061 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999057 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43681k2 121c1 |
Quadratic twists by: -11 -19 |