Atkin-Lehner |
2- 3- 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
24120x |
Isogeny class |
Conductor |
24120 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1353845809981440 = 211 · 38 · 5 · 674 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-30747,1082774] |
[a1,a2,a3,a4,a6] |
Generators |
[3370:195372:1] |
Generators of the group modulo torsion |
j |
2153150936498/906800445 |
j-invariant |
L |
5.8133724414317 |
L(r)(E,1)/r! |
Ω |
0.43524347136502 |
Real period |
R |
3.339149708093 |
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 |
48240r3 8040a3 120600e3 |
Quadratic twists by: -4 -3 5 |