Atkin-Lehner |
3- 5+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
67275m |
Isogeny class |
Conductor |
67275 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
9164999390625 = 38 · 56 · 132 · 232 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 0 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5405,47972] |
[a1,a2,a3,a4,a6] |
Generators |
[-66:370:1] |
Generators of the group modulo torsion |
j |
1532808577/804609 |
j-invariant |
L |
3.6418564133883 |
L(r)(E,1)/r! |
Ω |
0.64122255078056 |
Real period |
R |
1.419887841227 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997058 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
22425l2 2691c2 |
Quadratic twists by: -3 5 |