Atkin-Lehner |
2- 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
59976bn |
Isogeny class |
Conductor |
59976 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-7559817690069759744 = -1 · 28 · 316 · 79 · 17 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 2 -4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,29841,132271090] |
[a1,a2,a3,a4,a6] |
Generators |
[17735:2361960:1] |
Generators of the group modulo torsion |
j |
390224/1003833 |
j-invariant |
L |
7.7536889129188 |
L(r)(E,1)/r! |
Ω |
0.1841593632369 |
Real period |
R |
5.2628934911796 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999542 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119952bi2 19992p2 59976bj2 |
Quadratic twists by: -4 -3 -7 |