Atkin-Lehner |
2- 3- 7+ 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
33558bi |
Isogeny class |
Conductor |
33558 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
13797573048 = 23 · 38 · 7 · 17 · 472 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -6 6 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-4998,135468] |
[a1,a2,a3,a4,a6] |
Generators |
[-66:456:1] |
Generators of the group modulo torsion |
j |
13807590497142625/13797573048 |
j-invariant |
L |
10.126048306975 |
L(r)(E,1)/r! |
Ω |
1.248569132707 |
Real period |
R |
0.67584352104318 |
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 |
100674b2 |
Quadratic twists by: -3 |