Atkin-Lehner |
2+ 3+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
57120f |
Isogeny class |
Conductor |
57120 |
Conductor |
∏ cp |
24 |
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] |
j |
7215215110932838472/1032767040375 |
j-invariant |
L |
3.0159916053995 |
L(r)(E,1)/r! |
Ω |
0.5026652675078 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57120bw2 114240ev2 |
Quadratic twists by: -4 8 |