Atkin-Lehner |
2+ 7+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
18326a |
Isogeny class |
Conductor |
18326 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
97920 |
Modular degree for the optimal curve |
Δ |
289128203026432 = 217 · 74 · 11 · 174 |
Discriminant |
Eigenvalues |
2+ -1 -2 7+ 11+ -1 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-180296,-29530304] |
[a1,a2,a3,a4,a6] |
Generators |
[-249:176:1] |
Generators of the group modulo torsion |
j |
269956376919178537/120419909632 |
j-invariant |
L |
2.0080684590951 |
L(r)(E,1)/r! |
Ω |
0.23169376400241 |
Real period |
R |
4.3334538323489 |
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 |
18326k1 |
Quadratic twists by: -7 |