Atkin-Lehner |
2- 5+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
22100h |
Isogeny class |
Conductor |
22100 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
24044800 = 28 · 52 · 13 · 172 |
Discriminant |
Eigenvalues |
2- -1 5+ -4 0 13- 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-293,2017] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:62:1] [3:34:1] |
Generators of the group modulo torsion |
j |
436142080/3757 |
j-invariant |
L |
5.9597885362074 |
L(r)(E,1)/r! |
Ω |
2.1411240729821 |
Real period |
R |
0.46391430646262 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88400bq1 22100i1 |
Quadratic twists by: -4 5 |