Atkin-Lehner |
2+ 7- 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
57134f |
Isogeny class |
Conductor |
57134 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
639801615376 = 24 · 76 · 112 · 532 |
Discriminant |
Eigenvalues |
2+ 0 2 7- 11+ -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3586,74052] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:377:1] |
Generators of the group modulo torsion |
j |
43354526697/5438224 |
j-invariant |
L |
4.1314648475675 |
L(r)(E,1)/r! |
Ω |
0.87928844986553 |
Real period |
R |
2.3493228236173 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998623 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1166b2 |
Quadratic twists by: -7 |