Atkin-Lehner |
2- 3+ 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
18240cb |
Isogeny class |
Conductor |
18240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
11673600000000 = 219 · 3 · 58 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 4 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-39745,3058657] |
[a1,a2,a3,a4,a6] |
Generators |
[-123:2464:1] |
Generators of the group modulo torsion |
j |
26487576322129/44531250 |
j-invariant |
L |
4.779169429751 |
L(r)(E,1)/r! |
Ω |
0.7155202879959 |
Real period |
R |
3.3396463454146 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
18240bn3 4560x3 54720dj4 91200hk4 |
Quadratic twists by: -4 8 -3 5 |