Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
17472cf |
Isogeny class |
Conductor |
17472 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
59833073664 = 214 · 32 · 74 · 132 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3409,76849] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:336:1] |
Generators of the group modulo torsion |
j |
267492843088/3651921 |
j-invariant |
L |
3.2986055462532 |
L(r)(E,1)/r! |
Ω |
1.1137650417401 |
Real period |
R |
0.74041773233865 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
17472w2 4368m2 52416fy2 122304ie2 |
Quadratic twists by: -4 8 -3 -7 |