Atkin-Lehner |
2- 17+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
109888u |
Isogeny class |
Conductor |
109888 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
162816 |
Modular degree for the optimal curve |
Δ |
28131328 = 214 · 17 · 101 |
Discriminant |
Eigenvalues |
2- -3 2 3 -5 5 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3184,-69152] |
[a1,a2,a3,a4,a6] |
Generators |
[3929:246251:1] |
Generators of the group modulo torsion |
j |
217882801152/1717 |
j-invariant |
L |
5.2652310944648 |
L(r)(E,1)/r! |
Ω |
0.63555991056946 |
Real period |
R |
8.2843977283994 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028644 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109888f1 27472c1 |
Quadratic twists by: -4 8 |