Atkin-Lehner |
2- 3- 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
55770dc |
Isogeny class |
Conductor |
55770 |
Conductor |
∏ cp |
3900 |
Product of Tamagawa factors cp |
deg |
2620800 |
Modular degree for the optimal curve |
Δ |
-5.1955049213084E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 11- 13+ 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1686025,-701724375] |
[a1,a2,a3,a4,a6] |
Generators |
[5500:415525:1] |
Generators of the group modulo torsion |
j |
109813469243970311/107638502400000 |
j-invariant |
L |
13.034857827544 |
L(r)(E,1)/r! |
Ω |
0.089860316251136 |
Real period |
R |
0.037194073838616 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000077 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4290j1 |
Quadratic twists by: 13 |