Atkin-Lehner |
5- 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
3055b |
Isogeny class |
Conductor |
3055 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
384 |
Modular degree for the optimal curve |
Δ |
-9546875 = -1 · 56 · 13 · 47 |
Discriminant |
Eigenvalues |
0 1 5- 2 -3 13- -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,45,109] |
[a1,a2,a3,a4,a6] |
Generators |
[218:1191:8] |
Generators of the group modulo torsion |
j |
9855401984/9546875 |
j-invariant |
L |
3.5242528019752 |
L(r)(E,1)/r! |
Ω |
1.5117830557969 |
Real period |
R |
3.4967842658987 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
48880s1 27495e1 15275c1 39715c1 |
Quadratic twists by: -4 -3 5 13 |