Atkin-Lehner |
2- 3+ 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
17520j |
Isogeny class |
Conductor |
17520 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-8723939635200 = -1 · 212 · 3 · 52 · 734 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4624,72960] |
[a1,a2,a3,a4,a6] |
Generators |
[34:518:1] |
Generators of the group modulo torsion |
j |
2668844775311/2129868075 |
j-invariant |
L |
3.6439209048857 |
L(r)(E,1)/r! |
Ω |
0.47217103751641 |
Real period |
R |
3.8586874409457 |
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 |
1095a4 70080co3 52560bg3 87600by3 |
Quadratic twists by: -4 8 -3 5 |