Atkin-Lehner |
2+ 3- 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
48240r |
Isogeny class |
Conductor |
48240 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
6785816601600 = 210 · 310 · 52 · 672 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14547,663586] |
[a1,a2,a3,a4,a6] |
Generators |
[-85:1134:1] |
Generators of the group modulo torsion |
j |
456054288196/9090225 |
j-invariant |
L |
6.7846884638438 |
L(r)(E,1)/r! |
Ω |
0.74869270043039 |
Real period |
R |
2.2655117580115 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999914 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24120x2 16080g2 |
Quadratic twists by: -4 -3 |