Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
52416gn |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1.7110329267334E+21 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -4 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-34061004,76486945680] |
[a1,a2,a3,a4,a6] |
Generators |
[2770:58240:1] |
Generators of the group modulo torsion |
j |
22868021811807457713/8953460393696 |
j-invariant |
L |
7.6956640414322 |
L(r)(E,1)/r! |
Ω |
0.14673829753571 |
Real period |
R |
1.0926004791404 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000046 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52416cb4 13104cd4 5824bd3 |
Quadratic twists by: -4 8 -3 |