Atkin-Lehner |
2- 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
71478cs |
Isogeny class |
Conductor |
71478 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
6.2905948926032E+20 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 11- 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2254874,-491709927] |
[a1,a2,a3,a4,a6] |
Generators |
[-321:14265:1] |
Generators of the group modulo torsion |
j |
36969300595297/18341826624 |
j-invariant |
L |
10.466815381191 |
L(r)(E,1)/r! |
Ω |
0.12965958034867 |
Real period |
R |
6.7271127425937 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992706 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
23826d2 3762h2 |
Quadratic twists by: -3 -19 |