Atkin-Lehner |
2- 3+ 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
18240ca |
Isogeny class |
Conductor |
18240 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1170652066099200 = -1 · 212 · 35 · 52 · 196 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 2 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,23255,912457] |
[a1,a2,a3,a4,a6] |
Generators |
[1476:77345:64] |
Generators of the group modulo torsion |
j |
339542483015744/285803727075 |
j-invariant |
L |
4.5434498203374 |
L(r)(E,1)/r! |
Ω |
0.3157872282155 |
Real period |
R |
7.1938467018003 |
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 |
18240cr2 9120f1 54720di2 91200hh2 |
Quadratic twists by: -4 8 -3 5 |