Atkin-Lehner |
2- 3- 5- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
18330bf |
Isogeny class |
Conductor |
18330 |
Conductor |
∏ cp |
336 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-7939676160000 = -1 · 214 · 33 · 54 · 13 · 472 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 0 13+ -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,2565,126225] |
[a1,a2,a3,a4,a6] |
Generators |
[30:465:1] |
Generators of the group modulo torsion |
j |
1866273280094159/7939676160000 |
j-invariant |
L |
9.1098636499995 |
L(r)(E,1)/r! |
Ω |
0.5282033695465 |
Real period |
R |
0.20532007933081 |
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 |
54990g1 91650k1 |
Quadratic twists by: -3 5 |