Atkin-Lehner |
2+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
8624i |
Isogeny class |
Conductor |
8624 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
4.5294623322254E+19 |
Discriminant |
Eigenvalues |
2+ 2 -2 7- 11- 0 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1116824,318999584] |
[a1,a2,a3,a4,a6] |
Generators |
[1370:92169:8] |
Generators of the group modulo torsion |
j |
1278763167594532/375974556419 |
j-invariant |
L |
5.3521902563657 |
L(r)(E,1)/r! |
Ω |
0.18773500463191 |
Real period |
R |
4.7515470604071 |
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 |
4312e2 34496cv2 77616bp2 1232d2 |
Quadratic twists by: -4 8 -3 -7 |