Atkin-Lehner |
2- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
11774j |
Isogeny class |
Conductor |
11774 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-11373602445081296 = -1 · 24 · 72 · 299 |
Discriminant |
Eigenvalues |
2- -1 -3 7- 3 -1 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-12212,5152197] |
[a1,a2,a3,a4,a6] |
Generators |
[843:23967:1] |
Generators of the group modulo torsion |
j |
-338608873/19120976 |
j-invariant |
L |
4.7324758470952 |
L(r)(E,1)/r! |
Ω |
0.33372624920306 |
Real period |
R |
0.44314725190148 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94192o1 105966ba1 82418m1 406b1 |
Quadratic twists by: -4 -3 -7 29 |