Atkin-Lehner |
2+ 3- 7+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
34608d |
Isogeny class |
Conductor |
34608 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
14592 |
Modular degree for the optimal curve |
Δ |
134555904 = 28 · 36 · 7 · 103 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 2 -2 8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-204,-1044] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:12:1] |
Generators of the group modulo torsion |
j |
3685542352/525609 |
j-invariant |
L |
5.694556097102 |
L(r)(E,1)/r! |
Ω |
1.2747377911798 |
Real period |
R |
1.489079070876 |
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 |
17304c1 103824l1 |
Quadratic twists by: -4 -3 |