Atkin-Lehner |
2- 3- 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
17112n |
Isogeny class |
Conductor |
17112 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-2182098693888 = -1 · 28 · 36 · 233 · 312 |
Discriminant |
Eigenvalues |
2- 3- -4 0 -4 -2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2940,36864] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:138:1] [0:192:1] |
Generators of the group modulo torsion |
j |
10974329876144/8523823023 |
j-invariant |
L |
6.6682455417431 |
L(r)(E,1)/r! |
Ω |
0.52825185899577 |
Real period |
R |
0.35064532130243 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34224d1 51336g1 |
Quadratic twists by: -4 -3 |