Atkin-Lehner |
2- 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
18150cj |
Isogeny class |
Conductor |
18150 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
316800 |
Modular degree for the optimal curve |
Δ |
361730611687500000 = 25 · 33 · 59 · 118 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 11- 1 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-357013,-76986469] |
[a1,a2,a3,a4,a6] |
j |
12019997/864 |
j-invariant |
L |
1.9619735281376 |
L(r)(E,1)/r! |
Ω |
0.19619735281376 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54450dl1 18150bq1 18150r1 |
Quadratic twists by: -3 5 -11 |