Atkin-Lehner |
2- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
17248bg |
Isogeny class |
Conductor |
17248 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-6377516992 = -1 · 26 · 77 · 112 |
Discriminant |
Eigenvalues |
2- 2 2 7- 11- -4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,278,3312] |
[a1,a2,a3,a4,a6] |
j |
314432/847 |
j-invariant |
L |
3.7534159546692 |
L(r)(E,1)/r! |
Ω |
0.93835398866731 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17248m1 34496y2 2464k1 |
Quadratic twists by: -4 8 -7 |