Atkin-Lehner |
2- 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
57120bw |
Isogeny class |
Conductor |
57120 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
528776724672000 = 29 · 35 · 53 · 76 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -6 6 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-322056,-70445700] |
[a1,a2,a3,a4,a6] |
Generators |
[699:6816:1] |
Generators of the group modulo torsion |
j |
7215215110932838472/1032767040375 |
j-invariant |
L |
6.067905698909 |
L(r)(E,1)/r! |
Ω |
0.20041043182677 |
Real period |
R |
6.0554788925035 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000143 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57120f2 114240bw2 |
Quadratic twists by: -4 8 |