Atkin-Lehner |
2+ 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
48510r |
Isogeny class |
Conductor |
48510 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1.6475637537652E+22 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11+ 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-291060450,-1911191067500] |
[a1,a2,a3,a4,a6] |
Generators |
[-92420153677:22869163778:9393931] |
Generators of the group modulo torsion |
j |
31794905164720991157649/192099600000000 |
j-invariant |
L |
3.9502906979251 |
L(r)(E,1)/r! |
Ω |
0.036551391320464 |
Real period |
R |
13.509371856968 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000006 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
16170bs2 6930k2 |
Quadratic twists by: -3 -7 |