Atkin-Lehner |
2+ 3+ 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
48240f |
Isogeny class |
Conductor |
48240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
289440000 = 28 · 33 · 54 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 4 6 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1047,13014] |
[a1,a2,a3,a4,a6] |
Generators |
[13:40:1] |
Generators of the group modulo torsion |
j |
18363693168/41875 |
j-invariant |
L |
5.8657675016172 |
L(r)(E,1)/r! |
Ω |
1.7353412529098 |
Real period |
R |
0.84504524568444 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999507 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24120a2 48240c2 |
Quadratic twists by: -4 -3 |