Atkin-Lehner |
2- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
67600dl |
Isogeny class |
Conductor |
67600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1124864000 = 212 · 53 · 133 |
Discriminant |
Eigenvalues |
2- -2 5- 0 2 13- 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5568,158068] |
[a1,a2,a3,a4,a6] |
Generators |
[-78:352:1] [-22:520:1] |
Generators of the group modulo torsion |
j |
16974593 |
j-invariant |
L |
7.8449213289502 |
L(r)(E,1)/r! |
Ω |
1.4643021700098 |
Real period |
R |
1.3393617604375 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4225m2 67600dh2 67600dm2 |
Quadratic twists by: -4 5 13 |