Atkin-Lehner |
2- 3- 5- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
93240ca |
Isogeny class |
Conductor |
93240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
10877558196556800 = 210 · 314 · 52 · 74 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-189507,31354094] |
[a1,a2,a3,a4,a6] |
Generators |
[323:1960:1] |
Generators of the group modulo torsion |
j |
1008258743423236/14571488925 |
j-invariant |
L |
5.7198164417573 |
L(r)(E,1)/r! |
Ω |
0.40582377773293 |
Real period |
R |
1.7617919289324 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999865857 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31080a3 |
Quadratic twists by: -3 |