Atkin-Lehner |
2+ 7- 17+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
16898a |
Isogeny class |
Conductor |
16898 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-10626543872 = -1 · 28 · 7 · 174 · 71 |
Discriminant |
Eigenvalues |
2+ -1 4 7- -3 -7 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-18853,-1004275] |
[a1,a2,a3,a4,a6] |
Generators |
[250:3035:1] |
Generators of the group modulo torsion |
j |
-741141458284085209/10626543872 |
j-invariant |
L |
3.595035260701 |
L(r)(E,1)/r! |
Ω |
0.2037140903947 |
Real period |
R |
4.4118637715922 |
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 |
118286f1 |
Quadratic twists by: -7 |