Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
18150dj |
Isogeny class |
Conductor |
18150 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
13068000 = 25 · 33 · 53 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 11- 1 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-118,452] |
[a1,a2,a3,a4,a6] |
Generators |
[2:14:1] |
Generators of the group modulo torsion |
j |
12019997/864 |
j-invariant |
L |
8.2908548146336 |
L(r)(E,1)/r! |
Ω |
2.1963649721242 |
Real period |
R |
0.12582691431615 |
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 |
54450dm1 18150r1 18150bq1 |
Quadratic twists by: -3 5 -11 |