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 |
-5300793344 = -1 · 212 · 76 · 11 |
Discriminant |
Eigenvalues |
2- -1 -1 7- 11+ -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6131141,-5841282131] |
[a1,a2,a3,a4,a6] |
Generators |
[11735805988452671340:927882390872138344937:1626753208097529] |
Generators of the group modulo torsion |
j |
-52893159101157376/11 |
j-invariant |
L |
2.9232834190979 |
L(r)(E,1)/r! |
Ω |
0.047971602583043 |
Real period |
R |
30.468894738689 |
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 |
539d3 34496de3 77616ga3 176b3 |
Quadratic twists by: -4 8 -3 -7 |