Atkin-Lehner |
2+ 3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
32760q |
Isogeny class |
Conductor |
32760 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
12518010086400 = 210 · 310 · 52 · 72 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14187,627734] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:810:1] |
Generators of the group modulo torsion |
j |
423026849956/16769025 |
j-invariant |
L |
4.9463947788371 |
L(r)(E,1)/r! |
Ω |
0.70527754488665 |
Real period |
R |
1.7533504415032 |
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 |
65520bm2 10920j2 |
Quadratic twists by: -4 -3 |