Atkin-Lehner |
3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
70785n |
Isogeny class |
Conductor |
70785 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
8.650433640745E+29 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 11- 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4937678483,125827452706002] |
[a1,a2,a3,a4,a6] |
Generators |
[814975448576351863673:60423152458674335527083:15128051053457161] |
Generators of the group modulo torsion |
j |
10308809044982316013479361/669814029336181640625 |
j-invariant |
L |
3.0450948499662 |
L(r)(E,1)/r! |
Ω |
0.027603986996069 |
Real period |
R |
27.578397013949 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992915 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
23595d4 6435f3 |
Quadratic twists by: -3 -11 |