Atkin-Lehner |
2- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
8624u |
Isogeny class |
Conductor |
8624 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1038955495424 = 214 · 78 · 11 |
Discriminant |
Eigenvalues |
2- 2 -2 7- 11+ 4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-183864,-30284176] |
[a1,a2,a3,a4,a6] |
Generators |
[1989666:102557134:729] |
Generators of the group modulo torsion |
j |
1426487591593/2156 |
j-invariant |
L |
5.3949117871586 |
L(r)(E,1)/r! |
Ω |
0.23055535892193 |
Real period |
R |
11.699818673452 |
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 |
1078f2 34496do2 77616gl2 1232h2 |
Quadratic twists by: -4 8 -3 -7 |