Atkin-Lehner |
2+ 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040cn |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
5082436800 = 26 · 33 · 52 · 76 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-44116,3551834] |
[a1,a2,a3,a4,a6] |
Generators |
[125:78:1] |
Generators of the group modulo torsion |
j |
1261112198464/675 |
j-invariant |
L |
7.6997760439924 |
L(r)(E,1)/r! |
Ω |
1.1192656791259 |
Real period |
R |
2.2931034717909 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47040r1 23520l4 960d1 |
Quadratic twists by: -4 8 -7 |