Atkin-Lehner |
2- 3+ 5- 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
18330v |
Isogeny class |
Conductor |
18330 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-508139274240000 = -1 · 220 · 33 · 54 · 13 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 5- -4 4 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,7620,-1050723] |
[a1,a2,a3,a4,a6] |
j |
48931109570940479/508139274240000 |
j-invariant |
L |
2.5760447036146 |
L(r)(E,1)/r! |
Ω |
0.25760447036146 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
54990j1 91650bf1 |
Quadratic twists by: -3 5 |