Atkin-Lehner |
2- 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
18326x |
Isogeny class |
Conductor |
18326 |
Conductor |
∏ cp |
198 |
Product of Tamagawa factors cp |
deg |
133056 |
Modular degree for the optimal curve |
Δ |
1891463698432 = 211 · 74 · 113 · 172 |
Discriminant |
Eigenvalues |
2- -3 -4 7+ 11- -5 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10422,406725] |
[a1,a2,a3,a4,a6] |
Generators |
[-44595:679051:729] [-59:931:1] |
Generators of the group modulo torsion |
j |
52136958407121/787781632 |
j-invariant |
L |
5.5213240827299 |
L(r)(E,1)/r! |
Ω |
0.83467566743265 |
Real period |
R |
0.033408755344536 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18326bd1 |
Quadratic twists by: -7 |