Atkin-Lehner |
2+ 3- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
127680de |
Isogeny class |
Conductor |
127680 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-1.4364E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,704895,529962975] |
[a1,a2,a3,a4,a6] |
Generators |
[90:24375:1] |
Generators of the group modulo torsion |
j |
147759857675855711/547943115234375 |
j-invariant |
L |
10.226765506484 |
L(r)(E,1)/r! |
Ω |
0.13051882506712 |
Real period |
R |
1.6323899138126 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000052389 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127680eh3 1995a4 |
Quadratic twists by: -4 8 |