Atkin-Lehner |
2- 3- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
126126ff |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1414301127300269208 = 23 · 314 · 76 · 11 · 134 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11+ 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-332744,46817075] |
[a1,a2,a3,a4,a6] |
Generators |
[555:5455:1] |
Generators of the group modulo torsion |
j |
47504791830313/16490207448 |
j-invariant |
L |
13.130638525701 |
L(r)(E,1)/r! |
Ω |
0.24785430787529 |
Real period |
R |
1.1036926065732 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000079551 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42042bt3 2574t3 |
Quadratic twists by: -3 -7 |