Atkin-Lehner |
2- 3- 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
18018bn |
Isogeny class |
Conductor |
18018 |
Conductor |
∏ cp |
1296 |
Product of Tamagawa factors cp |
Δ |
2.0983650195994E+19 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 11+ 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-694220,-31339825] |
[a1,a2,a3,a4,a6] |
Generators |
[-699:10933:1] |
Generators of the group modulo torsion |
j |
50755950018496437625/28784156647454208 |
j-invariant |
L |
7.766654381752 |
L(r)(E,1)/r! |
Ω |
0.17851491094995 |
Real period |
R |
1.2085287349111 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
6006q4 126126eq4 |
Quadratic twists by: -3 -7 |