Atkin-Lehner |
2+ 3+ 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
18240p |
Isogeny class |
Conductor |
18240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
-476454117703680 = -1 · 220 · 314 · 5 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 4 -6 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-93185,-10968063] |
[a1,a2,a3,a4,a6] |
j |
-341370886042369/1817528220 |
j-invariant |
L |
2.458481260202 |
L(r)(E,1)/r! |
Ω |
0.13658229223344 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18240cx1 570j1 54720s1 91200dc1 |
Quadratic twists by: -4 8 -3 5 |