Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
17472cf |
Isogeny class |
Conductor |
17472 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
14734277935104 = 216 · 3 · 78 · 13 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6529,-82271] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:245:1] |
Generators of the group modulo torsion |
j |
469732169092/224827239 |
j-invariant |
L |
3.2986055462532 |
L(r)(E,1)/r! |
Ω |
0.55688252087007 |
Real period |
R |
1.4808354646773 |
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 |
17472w4 4368m3 52416fy3 122304ie3 |
Quadratic twists by: -4 8 -3 -7 |