Atkin-Lehner |
2- 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
101640ct |
Isogeny class |
Conductor |
101640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1725537221652034560 = 210 · 3 · 5 · 78 · 117 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-522760,-131208640] |
[a1,a2,a3,a4,a6] |
Generators |
[-8259:11132:27] |
Generators of the group modulo torsion |
j |
8709145038724/951192165 |
j-invariant |
L |
8.5856833463831 |
L(r)(E,1)/r! |
Ω |
0.17880924820813 |
Real period |
R |
6.0019849539964 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000034188 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9240o4 |
Quadratic twists by: -11 |