Atkin-Lehner |
3- 13+ 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
17043d |
Isogeny class |
Conductor |
17043 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
9984 |
Modular degree for the optimal curve |
Δ |
-1022937903 = -1 · 36 · 132 · 192 · 23 |
Discriminant |
Eigenvalues |
-1 3- -2 0 6 13+ 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,56,1535] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:32:1] |
Generators of the group modulo torsion |
j |
19400056703/1022937903 |
j-invariant |
L |
3.723165906339 |
L(r)(E,1)/r! |
Ω |
1.1847908930732 |
Real period |
R |
0.52374444696054 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51129d1 |
Quadratic twists by: -3 |