Atkin-Lehner |
2+ 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
17472h |
Isogeny class |
Conductor |
17472 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
4279661568 = 210 · 38 · 72 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-957,11277] |
[a1,a2,a3,a4,a6] |
j |
94757435392/4179357 |
j-invariant |
L |
2.7381398251039 |
L(r)(E,1)/r! |
Ω |
1.3690699125519 |
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 |
17472cm1 2184m1 52416co1 122304eg1 |
Quadratic twists by: -4 8 -3 -7 |