Atkin-Lehner |
2- 3+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
42834w |
Isogeny class |
Conductor |
42834 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
142800 |
Modular degree for the optimal curve |
Δ |
-2438291525472 = -1 · 25 · 36 · 116 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 0 1 11- -1 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-86578,-9841633] |
[a1,a2,a3,a4,a6] |
Generators |
[2957:158523:1] |
Generators of the group modulo torsion |
j |
-40512641613625/1376352 |
j-invariant |
L |
7.7487900316334 |
L(r)(E,1)/r! |
Ω |
0.13916074989166 |
Real period |
R |
5.5682295745501 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128502u1 354c1 |
Quadratic twists by: -3 -11 |