Atkin-Lehner |
2+ 3+ 5+ 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
42570b |
Isogeny class |
Conductor |
42570 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
705024 |
Modular degree for the optimal curve |
Δ |
3290851713600 = 26 · 33 · 52 · 116 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 2 11- 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4761030,3999712500] |
[a1,a2,a3,a4,a6] |
Generators |
[29316:-297122:27] |
Generators of the group modulo torsion |
j |
442041204265621405270587/121883396800 |
j-invariant |
L |
4.3902528622523 |
L(r)(E,1)/r! |
Ω |
0.47041712243483 |
Real period |
R |
6.9995106250579 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999924 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
42570q3 |
Quadratic twists by: -3 |