Atkin-Lehner |
3- 5+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
14805f |
Isogeny class |
Conductor |
14805 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69888 |
Modular degree for the optimal curve |
Δ |
-1180467421875 = -1 · 38 · 57 · 72 · 47 |
Discriminant |
Eigenvalues |
2 3- 5+ 7+ 6 -3 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-18003,-931217] |
[a1,a2,a3,a4,a6] |
Generators |
[1859778:29595023:5832] |
Generators of the group modulo torsion |
j |
-885178441732096/1619296875 |
j-invariant |
L |
8.8935248645351 |
L(r)(E,1)/r! |
Ω |
0.20605621840192 |
Real period |
R |
10.790168010349 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4935b1 74025p1 103635bj1 |
Quadratic twists by: -3 5 -7 |