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 |
Δ |
10348226150400 = 219 · 37 · 52 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 4 -6 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1492865,-701570175] |
[a1,a2,a3,a4,a6] |
j |
1403607530712116449/39475350 |
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 |
18240cx2 570j2 54720s2 91200dc2 |
Quadratic twists by: -4 8 -3 5 |