Atkin-Lehner |
2- 3+ 13+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
47268b |
Isogeny class |
Conductor |
47268 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
9984 |
Modular degree for the optimal curve |
Δ |
-9075456 = -1 · 28 · 33 · 13 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 1 1 6 13+ -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,48,68] |
[a1,a2,a3,a4,a6] |
Generators |
[4:18:1] |
Generators of the group modulo torsion |
j |
1769472/1313 |
j-invariant |
L |
7.2617268516539 |
L(r)(E,1)/r! |
Ω |
1.4747528621297 |
Real period |
R |
0.82067161196278 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999986 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47268a1 |
Quadratic twists by: -3 |