Atkin-Lehner |
2- 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
13650di |
Isogeny class |
Conductor |
13650 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
105600 |
Modular degree for the optimal curve |
Δ |
-2057027273437500 = -1 · 22 · 310 · 59 · 73 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 6 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-8638,-2204608] |
[a1,a2,a3,a4,a6] |
j |
-36495256013/1053197964 |
j-invariant |
L |
6.0602928017106 |
L(r)(E,1)/r! |
Ω |
0.20200976005702 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109200en1 40950cu1 13650n1 95550ia1 |
Quadratic twists by: -4 -3 5 -7 |