Atkin-Lehner |
2+ 3- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
57960p |
Isogeny class |
Conductor |
57960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
264080250000000000 = 210 · 38 · 512 · 7 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-325083,66919718] |
[a1,a2,a3,a4,a6] |
Generators |
[22754:1190673:8] |
Generators of the group modulo torsion |
j |
5089545532199524/353759765625 |
j-invariant |
L |
5.029282947038 |
L(r)(E,1)/r! |
Ω |
0.304264148971 |
Real period |
R |
8.2646656924632 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000286 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115920s4 19320t3 |
Quadratic twists by: -4 -3 |