Atkin-Lehner |
3- 5- 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
14805k |
Isogeny class |
Conductor |
14805 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2816 |
Modular degree for the optimal curve |
Δ |
5996025 = 36 · 52 · 7 · 47 |
Discriminant |
Eigenvalues |
-1 3- 5- 7+ -6 2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-47,46] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:14:1] |
Generators of the group modulo torsion |
j |
15438249/8225 |
j-invariant |
L |
2.942699436538 |
L(r)(E,1)/r! |
Ω |
2.0944990603222 |
Real period |
R |
1.4049657468384 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1645a1 74025t1 103635y1 |
Quadratic twists by: -3 5 -7 |