Atkin-Lehner |
3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
70785m |
Isogeny class |
Conductor |
70785 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
767313586269140625 = 38 · 58 · 116 · 132 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 11- 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-8848148,-10128101794] |
[a1,a2,a3,a4,a6] |
Generators |
[1111230:413500631:8] |
Generators of the group modulo torsion |
j |
59319456301170001/594140625 |
j-invariant |
L |
3.124205192268 |
L(r)(E,1)/r! |
Ω |
0.087536005541569 |
Real period |
R |
8.9226289596742 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000097 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
23595n6 585f5 |
Quadratic twists by: -3 -11 |