Atkin-Lehner |
2- 11- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
38896l |
Isogeny class |
Conductor |
38896 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-1354203136 = -1 · 215 · 11 · 13 · 172 |
Discriminant |
Eigenvalues |
2- 0 -3 3 11- 13- 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-419,3746] |
[a1,a2,a3,a4,a6] |
Generators |
[7:-34:1] |
Generators of the group modulo torsion |
j |
-1986121593/330616 |
j-invariant |
L |
4.4517915751241 |
L(r)(E,1)/r! |
Ω |
1.4667599656744 |
Real period |
R |
0.7587798411647 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4862b1 |
Quadratic twists by: -4 |