Atkin-Lehner |
2- 3+ 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
42042bv |
Isogeny class |
Conductor |
42042 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
157248 |
Modular degree for the optimal curve |
Δ |
-2057618891328 = -1 · 26 · 3 · 78 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 3+ -4 7+ 11- 13+ -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6910,228731] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:651:1] |
Generators of the group modulo torsion |
j |
-6329617441/356928 |
j-invariant |
L |
5.1868116096123 |
L(r)(E,1)/r! |
Ω |
0.8160319064101 |
Real period |
R |
0.17655939569919 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126126bc1 42042dq1 |
Quadratic twists by: -3 -7 |