Atkin-Lehner |
2+ 3- 5- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
42570p |
Isogeny class |
Conductor |
42570 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3043808345318400 = 210 · 312 · 52 · 112 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 11- 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-37179,762853] |
[a1,a2,a3,a4,a6] |
Generators |
[-106:1925:1] |
Generators of the group modulo torsion |
j |
7796431503611569/4175320089600 |
j-invariant |
L |
4.2401638058415 |
L(r)(E,1)/r! |
Ω |
0.3936751282547 |
Real period |
R |
2.6926795100328 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999943 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14190k2 |
Quadratic twists by: -3 |