Atkin-Lehner |
2+ 3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
32760q |
Isogeny class |
Conductor |
32760 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1679002940160000 = 211 · 38 · 54 · 7 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-36867,-1880674] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:250:1] |
Generators of the group modulo torsion |
j |
3711757787138/1124589375 |
j-invariant |
L |
4.9463947788371 |
L(r)(E,1)/r! |
Ω |
0.35263877244332 |
Real period |
R |
3.5067008830064 |
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 |
65520bm3 10920j4 |
Quadratic twists by: -4 -3 |