Atkin-Lehner |
2- 3+ 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
55770bv |
Isogeny class |
Conductor |
55770 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
deg |
63258624 |
Modular degree for the optimal curve |
Δ |
-3.0539814064668E+26 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11- 13+ 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6296620171,192312531131729] |
[a1,a2,a3,a4,a6] |
Generators |
[45749:-71880:1] |
Generators of the group modulo torsion |
j |
-33845379066205656446988049/374385974175754200 |
j-invariant |
L |
8.2481703367104 |
L(r)(E,1)/r! |
Ω |
0.049415477645693 |
Real period |
R |
1.2645054118953 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55770j1 |
Quadratic twists by: 13 |