Atkin-Lehner |
2+ 3- 5- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
18330n |
Isogeny class |
Conductor |
18330 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
37632 |
Modular degree for the optimal curve |
Δ |
-2087901562500 = -1 · 22 · 37 · 58 · 13 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 -3 13- -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,292,69518] |
[a1,a2,a3,a4,a6] |
Generators |
[39:-395:1] |
Generators of the group modulo torsion |
j |
2766995941319/2087901562500 |
j-invariant |
L |
4.448979414356 |
L(r)(E,1)/r! |
Ω |
0.64437631751949 |
Real period |
R |
0.061645702061545 |
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 |
54990bj1 91650by1 |
Quadratic twists by: -3 5 |