Atkin-Lehner |
2- 3- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
127296dq |
Isogeny class |
Conductor |
127296 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
89746735104 = 215 · 36 · 13 · 172 |
Discriminant |
Eigenvalues |
2- 3- -2 2 0 13- 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5196,143440] |
[a1,a2,a3,a4,a6] |
Generators |
[48:68:1] |
Generators of the group modulo torsion |
j |
649461896/3757 |
j-invariant |
L |
5.9283997820974 |
L(r)(E,1)/r! |
Ω |
1.0793329889739 |
Real period |
R |
2.7463256486887 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000067316 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127296dr2 63648e2 14144x2 |
Quadratic twists by: -4 8 -3 |