Atkin-Lehner |
2+ 3- 5- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
71760r |
Isogeny class |
Conductor |
71760 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
576362698229760 = 211 · 3 · 5 · 138 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-24240,-888972] |
[a1,a2,a3,a4,a6] |
Generators |
[308:4578:1] |
Generators of the group modulo torsion |
j |
769147304922722/281427098745 |
j-invariant |
L |
8.3195191028727 |
L(r)(E,1)/r! |
Ω |
0.39434997018502 |
Real period |
R |
5.2741978769342 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000003833 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35880p3 |
Quadratic twists by: -4 |