Atkin-Lehner |
2- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
8528g |
Isogeny class |
Conductor |
8528 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-1095924434894848 = -1 · 215 · 138 · 41 |
Discriminant |
Eigenvalues |
2- 0 -2 0 0 13+ -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,18469,1266314] |
[a1,a2,a3,a4,a6] |
Generators |
[259555:11853534:125] |
Generators of the group modulo torsion |
j |
170095924504143/267559676488 |
j-invariant |
L |
3.405829193528 |
L(r)(E,1)/r! |
Ω |
0.33384343059334 |
Real period |
R |
10.201875734007 |
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 |
1066e4 34112t3 76752bq3 110864e3 |
Quadratic twists by: -4 8 -3 13 |