Atkin-Lehner |
2+ 17+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
27472d |
Isogeny class |
Conductor |
27472 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
14784 |
Modular degree for the optimal curve |
Δ |
-3516416 = -1 · 211 · 17 · 101 |
Discriminant |
Eigenvalues |
2+ -3 -2 0 -1 4 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-811,8890] |
[a1,a2,a3,a4,a6] |
Generators |
[17:-4:1] |
Generators of the group modulo torsion |
j |
-28804233474/1717 |
j-invariant |
L |
2.6503757924371 |
L(r)(E,1)/r! |
Ω |
2.3686382823224 |
Real period |
R |
0.2797362320175 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13736e1 109888t1 |
Quadratic twists by: -4 8 |