Atkin-Lehner |
2- 3- 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
18054u |
Isogeny class |
Conductor |
18054 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
17920 |
Modular degree for the optimal curve |
Δ |
172560132 = 22 · 36 · 17 · 592 |
Discriminant |
Eigenvalues |
2- 3- 0 2 -4 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11090,452269] |
[a1,a2,a3,a4,a6] |
Generators |
[-67:977:1] |
Generators of the group modulo torsion |
j |
206896959473625/236708 |
j-invariant |
L |
7.7441459288234 |
L(r)(E,1)/r! |
Ω |
1.524466693943 |
Real period |
R |
2.5399524829215 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2006a1 |
Quadratic twists by: -3 |