Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
37440bz |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-201852518400 = -1 · 216 · 36 · 52 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 2 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12,21616] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:144:1] |
Generators of the group modulo torsion |
j |
-4/4225 |
j-invariant |
L |
6.2243990522877 |
L(r)(E,1)/r! |
Ω |
0.79827221219069 |
Real period |
R |
0.97466737493047 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37440ev2 4680e2 4160c2 |
Quadratic twists by: -4 8 -3 |