Atkin-Lehner |
2- 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
6136f |
Isogeny class |
Conductor |
6136 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3744 |
Modular degree for the optimal curve |
Δ |
-92678144 = -1 · 211 · 13 · 592 |
Discriminant |
Eigenvalues |
2- -1 3 3 -2 13- -7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3424,-75988] |
[a1,a2,a3,a4,a6] |
Generators |
[29045:426098:125] |
Generators of the group modulo torsion |
j |
-2168312432834/45253 |
j-invariant |
L |
4.2207317277414 |
L(r)(E,1)/r! |
Ω |
0.31205058913695 |
Real period |
R |
6.7628965857985 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12272d1 49088d1 55224j1 79768f1 |
Quadratic twists by: -4 8 -3 13 |