Atkin-Lehner |
2- 3- 13- 101- |
Signs for the Atkin-Lehner involutions |
Class |
47268g |
Isogeny class |
Conductor |
47268 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
21600 |
Modular degree for the optimal curve |
Δ |
-41411305728 = -1 · 28 · 36 · 133 · 101 |
Discriminant |
Eigenvalues |
2- 3- 0 2 0 13- -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,465,8998] |
[a1,a2,a3,a4,a6] |
Generators |
[66:572:1] |
Generators of the group modulo torsion |
j |
59582000/221897 |
j-invariant |
L |
6.6154035568986 |
L(r)(E,1)/r! |
Ω |
0.81425627978033 |
Real period |
R |
2.7081578290776 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5252b1 |
Quadratic twists by: -3 |