Atkin-Lehner |
2- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
89056k |
Isogeny class |
Conductor |
89056 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12418560 |
Modular degree for the optimal curve |
Δ |
3.1486842858245E+24 |
Discriminant |
Eigenvalues |
2- 2 1 1 11- 5 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-45452480,81395245208] |
[a1,a2,a3,a4,a6] |
Generators |
[52443525137876569099964953335:721936411194850529640881960602:27112019612347338988705875] |
Generators of the group modulo torsion |
j |
11449075068218623688/3471387096324037 |
j-invariant |
L |
11.461277961497 |
L(r)(E,1)/r! |
Ω |
0.073996351169745 |
Real period |
R |
38.722442999943 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89056l1 8096a1 |
Quadratic twists by: -4 -11 |