Atkin-Lehner |
2- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
7568l |
Isogeny class |
Conductor |
7568 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-308074995712 = -1 · 213 · 11 · 434 |
Discriminant |
Eigenvalues |
2- 0 2 0 11- 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1261,-20398] |
[a1,a2,a3,a4,a6] |
Generators |
[171465:1411046:3375] |
Generators of the group modulo torsion |
j |
54138849687/75213622 |
j-invariant |
L |
4.6510475860985 |
L(r)(E,1)/r! |
Ω |
0.51511382005383 |
Real period |
R |
9.029164827324 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
946a4 30272bb3 68112bn3 83248bj3 |
Quadratic twists by: -4 8 -3 -11 |