Atkin-Lehner |
7- 37- 67- |
Signs for the Atkin-Lehner involutions |
Class |
17353a |
Isogeny class |
Conductor |
17353 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
8848 |
Modular degree for the optimal curve |
Δ |
-2041563097 = -1 · 77 · 37 · 67 |
Discriminant |
Eigenvalues |
1 0 4 7- 3 2 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,55,-2182] |
[a1,a2,a3,a4,a6] |
j |
18212205591/2041563097 |
j-invariant |
L |
4.8819224564815 |
L(r)(E,1)/r! |
Ω |
0.69741749378308 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121471d1 |
Quadratic twists by: -7 |