Atkin-Lehner |
2- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
13600s |
Isogeny class |
Conductor |
13600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
17000000 = 26 · 56 · 17 |
Discriminant |
Eigenvalues |
2- 0 5+ 2 -4 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-125,500] |
[a1,a2,a3,a4,a6] |
Generators |
[4:8:1] |
Generators of the group modulo torsion |
j |
216000/17 |
j-invariant |
L |
4.4543648298939 |
L(r)(E,1)/r! |
Ω |
2.1440296585659 |
Real period |
R |
2.0775667967548 |
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 |
13600c1 27200r1 122400u1 544a1 |
Quadratic twists by: -4 8 -3 5 |