Atkin-Lehner |
2+ 3+ 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
24072a |
Isogeny class |
Conductor |
24072 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
-409031424 = -1 · 28 · 33 · 17 · 592 |
Discriminant |
Eigenvalues |
2+ 3+ -1 2 -3 -7 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2721,55557] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:302:1] [17:118:1] |
Generators of the group modulo torsion |
j |
-8706206639104/1597779 |
j-invariant |
L |
6.5983495026275 |
L(r)(E,1)/r! |
Ω |
1.631778442498 |
Real period |
R |
0.50545690906782 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48144d1 72216n1 |
Quadratic twists by: -4 -3 |