Atkin-Lehner |
13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
8957a |
Isogeny class |
Conductor |
8957 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2291387595289 = -1 · 138 · 532 |
Discriminant |
Eigenvalues |
1 -2 2 -2 -2 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1525,76221] |
[a1,a2,a3,a4,a6] |
Generators |
[-41:285:1] |
Generators of the group modulo torsion |
j |
-81182737/474721 |
j-invariant |
L |
3.4012981105551 |
L(r)(E,1)/r! |
Ω |
0.70789761939346 |
Real period |
R |
2.4023940873466 |
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 |
80613l2 689a2 |
Quadratic twists by: -3 13 |