Atkin-Lehner |
2- 3- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
77064s |
Isogeny class |
Conductor |
77064 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
3386880 |
Modular degree for the optimal curve |
Δ |
-3.0627086597739E+20 |
Discriminant |
Eigenvalues |
2- 3- 0 0 4 13+ 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8434508,9463105965] |
[a1,a2,a3,a4,a6] |
Generators |
[1642:-6591:1] |
Generators of the group modulo torsion |
j |
-859256706676000000/3965752347687 |
j-invariant |
L |
9.11992292551 |
L(r)(E,1)/r! |
Ω |
0.17322910073525 |
Real period |
R |
1.096804136634 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000508 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5928g1 |
Quadratic twists by: 13 |