Atkin-Lehner |
2+ 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
17952j |
Isogeny class |
Conductor |
17952 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
334470238521408 = 26 · 39 · 11 · 176 |
Discriminant |
Eigenvalues |
2+ 3- 4 4 11- -2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-287046,-59282928] |
[a1,a2,a3,a4,a6] |
j |
40869539953013031616/5226097476897 |
j-invariant |
L |
5.5690183674079 |
L(r)(E,1)/r! |
Ω |
0.20625993953362 |
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 |
17952d1 35904bw2 53856v1 |
Quadratic twists by: -4 8 -3 |