Atkin-Lehner |
2- 3- 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
17112m |
Isogeny class |
Conductor |
17112 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
10428189696 = 210 · 33 · 233 · 31 |
Discriminant |
Eigenvalues |
2- 3- -1 3 -1 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1296,-17712] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:12:1] |
Generators of the group modulo torsion |
j |
235273937476/10183779 |
j-invariant |
L |
6.04107795956 |
L(r)(E,1)/r! |
Ω |
0.79777518812743 |
Real period |
R |
1.2620677373492 |
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 |
34224f1 51336i1 |
Quadratic twists by: -4 -3 |