Atkin-Lehner |
2+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
72200m |
Isogeny class |
Conductor |
72200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
19353600 |
Modular degree for the optimal curve |
Δ |
-1.3639400314331E+24 |
Discriminant |
Eigenvalues |
2+ -2 5+ -4 4 -4 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-234968883,1387380424738] |
[a1,a2,a3,a4,a6] |
Generators |
[8309:93499:1] [9753:153425:1] |
Generators of the group modulo torsion |
j |
-121981271658244096/115966796875 |
j-invariant |
L |
6.8636389307496 |
L(r)(E,1)/r! |
Ω |
0.085097734533863 |
Real period |
R |
10.081994203892 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000104 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14440l1 3800d1 |
Quadratic twists by: 5 -19 |