Atkin-Lehner |
2- 17+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
109888t |
Isogeny class |
Conductor |
109888 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
118272 |
Modular degree for the optimal curve |
Δ |
-225050624 = -1 · 217 · 17 · 101 |
Discriminant |
Eigenvalues |
2- 3 2 0 1 -4 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3244,71120] |
[a1,a2,a3,a4,a6] |
Generators |
[894:80:27] |
Generators of the group modulo torsion |
j |
-28804233474/1717 |
j-invariant |
L |
14.548067313932 |
L(r)(E,1)/r! |
Ω |
1.6748801916083 |
Real period |
R |
2.171508649106 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017018 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109888g1 27472d1 |
Quadratic twists by: -4 8 |