Atkin-Lehner |
3- 11- 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
55341j |
Isogeny class |
Conductor |
55341 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
4815360 |
Modular degree for the optimal curve |
Δ |
-8144433851008973661 = -1 · 318 · 11 · 13 · 435 |
Discriminant |
Eigenvalues |
1 3- -3 5 11- 13- 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-46497726,122049871821] |
[a1,a2,a3,a4,a6] |
Generators |
[-7236:285741:1] |
Generators of the group modulo torsion |
j |
-15250754532389928529307617/11172062895759909 |
j-invariant |
L |
7.465272421841 |
L(r)(E,1)/r! |
Ω |
0.19355014434148 |
Real period |
R |
1.9285111998098 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000126 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18447g1 |
Quadratic twists by: -3 |