Atkin-Lehner |
2- 3+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
18240bx |
Isogeny class |
Conductor |
18240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1010568960000000000 = 217 · 37 · 510 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 0 2 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-294081,-37698975] |
[a1,a2,a3,a4,a6] |
Generators |
[-139:688:1] |
Generators of the group modulo torsion |
j |
21459330184836962/7710029296875 |
j-invariant |
L |
3.6180540606994 |
L(r)(E,1)/r! |
Ω |
0.21113248621642 |
Real period |
R |
4.2841039357993 |
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 |
18240z2 4560h2 54720ey2 91200ic2 |
Quadratic twists by: -4 8 -3 5 |