Atkin-Lehner |
2- 3- 17- 73- |
Signs for the Atkin-Lehner involutions |
Class |
89352s |
Isogeny class |
Conductor |
89352 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-43425072 = -1 · 24 · 37 · 17 · 73 |
Discriminant |
Eigenvalues |
2- 3- 2 -1 2 2 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,6,317] |
[a1,a2,a3,a4,a6] |
Generators |
[1:18:1] |
Generators of the group modulo torsion |
j |
2048/3723 |
j-invariant |
L |
8.2010917018858 |
L(r)(E,1)/r! |
Ω |
1.5896052888665 |
Real period |
R |
1.2898000142837 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005785 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29784a1 |
Quadratic twists by: -3 |