Atkin-Lehner |
3- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
18081k |
Isogeny class |
Conductor |
18081 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23808 |
Modular degree for the optimal curve |
Δ |
-180141003 = -1 · 37 · 72 · 412 |
Discriminant |
Eigenvalues |
-2 3- 0 7- -4 1 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-9975,383458] |
[a1,a2,a3,a4,a6] |
Generators |
[43:184:1] |
Generators of the group modulo torsion |
j |
-3072832000000/5043 |
j-invariant |
L |
2.1291239753504 |
L(r)(E,1)/r! |
Ω |
1.5379473754052 |
Real period |
R |
0.17304915706149 |
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 |
6027e1 18081g1 |
Quadratic twists by: -3 -7 |