Atkin-Lehner |
2- 5+ 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
69680r |
Isogeny class |
Conductor |
69680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1449344000000 = 213 · 56 · 132 · 67 |
Discriminant |
Eigenvalues |
2- -2 5+ 0 2 13+ -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11976,497140] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:1000:1] |
Generators of the group modulo torsion |
j |
46380496070089/353843750 |
j-invariant |
L |
3.3705460859564 |
L(r)(E,1)/r! |
Ω |
0.85586206028492 |
Real period |
R |
0.984547113937 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001275 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8710a2 |
Quadratic twists by: -4 |