Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
87120gk |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
3.0995231256E+22 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 11- -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7902147,1163685314] |
[a1,a2,a3,a4,a6] |
Generators |
[-1007:-90000:1] |
Generators of the group modulo torsion |
j |
10316097499609/5859375000 |
j-invariant |
L |
5.2377641827183 |
L(r)(E,1)/r! |
Ω |
0.10082509170756 |
Real period |
R |
0.54113557052224 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008404 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10890ba8 29040ch8 720j8 |
Quadratic twists by: -4 -3 -11 |