Atkin-Lehner |
11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
43681i |
Isogeny class |
Conductor |
43681 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1036800 |
Modular degree for the optimal curve |
Δ |
-4.0046353257479E+19 |
Discriminant |
Eigenvalues |
0 -1 -3 4 11- 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1193947,587633617] |
[a1,a2,a3,a4,a6] |
Generators |
[1229:31226:1] |
Generators of the group modulo torsion |
j |
-2258403328/480491 |
j-invariant |
L |
3.3565732238664 |
L(r)(E,1)/r! |
Ω |
0.19536042100532 |
Real period |
R |
4.2953598361847 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3971a1 2299c1 |
Quadratic twists by: -11 -19 |