Atkin-Lehner |
2- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
8624r |
Isogeny class |
Conductor |
8624 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-77608915349504 = -1 · 212 · 76 · 115 |
Discriminant |
Eigenvalues |
2- -1 -1 7- 11+ -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8101,-505651] |
[a1,a2,a3,a4,a6] |
Generators |
[7716:122059:27] |
Generators of the group modulo torsion |
j |
-122023936/161051 |
j-invariant |
L |
2.9232834190979 |
L(r)(E,1)/r! |
Ω |
0.23985801291521 |
Real period |
R |
6.0937789477378 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
539d2 34496de2 77616ga2 176b2 |
Quadratic twists by: -4 8 -3 -7 |