Atkin-Lehner |
2+ 3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
55770bc |
Isogeny class |
Conductor |
55770 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2322432 |
Modular degree for the optimal curve |
Δ |
3.9083173843304E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 11- 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1929984,-987352754] |
[a1,a2,a3,a4,a6] |
Generators |
[-310058:1642649:343] |
Generators of the group modulo torsion |
j |
164711681450297281/8097103872000 |
j-invariant |
L |
6.2012874740625 |
L(r)(E,1)/r! |
Ω |
0.1284795379414 |
Real period |
R |
8.0444553965327 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000068 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4290bb1 |
Quadratic twists by: 13 |