Atkin-Lehner |
2- 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
18240bv |
Isogeny class |
Conductor |
18240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
14195097600 = 219 · 3 · 52 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 0 -6 8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1921,32545] |
[a1,a2,a3,a4,a6] |
Generators |
[21:32:1] |
Generators of the group modulo torsion |
j |
2992209121/54150 |
j-invariant |
L |
4.1871070038132 |
L(r)(E,1)/r! |
Ω |
1.2530466447549 |
Real period |
R |
0.83538530296136 |
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 |
18240bb2 4560ba2 54720ew2 91200ie2 |
Quadratic twists by: -4 8 -3 5 |