Atkin-Lehner |
7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
17689g |
Isogeny class |
Conductor |
17689 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
45360 |
Modular degree for the optimal curve |
Δ |
-105163116221611 = -1 · 76 · 197 |
Discriminant |
Eigenvalues |
0 -2 -3 7- 3 -4 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,11793,-17853] |
[a1,a2,a3,a4,a6] |
Generators |
[25:541:1] |
Generators of the group modulo torsion |
j |
32768/19 |
j-invariant |
L |
1.5788996142177 |
L(r)(E,1)/r! |
Ω |
0.35371836631955 |
Real period |
R |
1.115929906783 |
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 |
361b1 931b1 |
Quadratic twists by: -7 -19 |