Atkin-Lehner |
2- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
18032q |
Isogeny class |
Conductor |
18032 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-11349480439808 = -1 · 222 · 76 · 23 |
Discriminant |
Eigenvalues |
2- 0 -4 7- -2 2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7987,-318990] |
[a1,a2,a3,a4,a6] |
Generators |
[8297:755712:1] |
Generators of the group modulo torsion |
j |
-116930169/23552 |
j-invariant |
L |
2.9530397704876 |
L(r)(E,1)/r! |
Ω |
0.2497982741462 |
Real period |
R |
5.9108490252404 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2254c1 72128bd1 368b1 |
Quadratic twists by: -4 8 -7 |