Atkin-Lehner |
2- 3- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
88218bx |
Isogeny class |
Conductor |
88218 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
5.4509392249377E+20 |
Discriminant |
Eigenvalues |
2- 3- -2 0 -4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-22174691,40181366931] |
[a1,a2,a3,a4,a6] |
Generators |
[-1803376:915499755:4096] |
Generators of the group modulo torsion |
j |
342695799974030257/154911513744 |
j-invariant |
L |
7.2382445444022 |
L(r)(E,1)/r! |
Ω |
0.16176792618895 |
Real period |
R |
5.5930776187277 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007238 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
29406f4 6786e4 |
Quadratic twists by: -3 13 |