Atkin-Lehner |
2- 3- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
35568bm |
Isogeny class |
Conductor |
35568 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
728687591424 = 214 · 36 · 132 · 192 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 4 13+ -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2331,13770] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:234:1] |
Generators of the group modulo torsion |
j |
469097433/244036 |
j-invariant |
L |
3.5430483069413 |
L(r)(E,1)/r! |
Ω |
0.79317408223677 |
Real period |
R |
1.1167309882813 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
4446q2 3952d2 |
Quadratic twists by: -4 -3 |