Atkin-Lehner |
2+ 3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
65520bf |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
728136864000 = 28 · 36 · 53 · 74 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 6 13+ 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4287,99934] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:360:1] |
Generators of the group modulo torsion |
j |
46689225424/3901625 |
j-invariant |
L |
7.3180309698713 |
L(r)(E,1)/r! |
Ω |
0.88022002080574 |
Real period |
R |
1.3856442700586 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000075 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32760bq1 7280b1 |
Quadratic twists by: -4 -3 |