Atkin-Lehner |
2+ 3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
47190z |
Isogeny class |
Conductor |
47190 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-7599996690 = -1 · 2 · 3 · 5 · 117 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 11- 13+ 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-729,-8714] |
[a1,a2,a3,a4,a6] |
Generators |
[278:583:8] |
Generators of the group modulo torsion |
j |
-24137569/4290 |
j-invariant |
L |
4.2205549704863 |
L(r)(E,1)/r! |
Ω |
0.45506688841074 |
Real period |
R |
2.318645389279 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999476 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4290x1 |
Quadratic twists by: -11 |