Atkin-Lehner |
2- 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
121086bl |
Isogeny class |
Conductor |
121086 |
Conductor |
∏ cp |
272 |
Product of Tamagawa factors cp |
deg |
8773632 |
Modular degree for the optimal curve |
Δ |
2.3505690411336E+19 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -2 2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-36569129,-85108268055] |
[a1,a2,a3,a4,a6] |
Generators |
[-3495:2150:1] |
Generators of the group modulo torsion |
j |
249031876226794389847/1082331758592 |
j-invariant |
L |
14.360686856089 |
L(r)(E,1)/r! |
Ω |
0.061393305177102 |
Real period |
R |
3.4398957422949 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000110279 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40362g1 121086bj1 |
Quadratic twists by: -3 -31 |