Atkin-Lehner |
2+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
17248u |
Isogeny class |
Conductor |
17248 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-37812298245568 = -1 · 26 · 79 · 114 |
Discriminant |
Eigenvalues |
2+ 2 -4 7- 11- -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1650,294176] |
[a1,a2,a3,a4,a6] |
Generators |
[922:11319:8] |
Generators of the group modulo torsion |
j |
65939264/5021863 |
j-invariant |
L |
5.2357453219867 |
L(r)(E,1)/r! |
Ω |
0.49571889871147 |
Real period |
R |
1.3202404970831 |
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 |
17248n1 34496cw1 2464d1 |
Quadratic twists by: -4 8 -7 |