Atkin-Lehner |
2- 3- 23+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
42642l |
Isogeny class |
Conductor |
42642 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
2278201449923755848 = 23 · 314 · 232 · 1034 |
Discriminant |
Eigenvalues |
2- 3- 4 4 -2 -2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2473673,1496338049] |
[a1,a2,a3,a4,a6] |
Generators |
[-1004:2508045:64] |
Generators of the group modulo torsion |
j |
2296269649209999045961/3125104869579912 |
j-invariant |
L |
13.066758601663 |
L(r)(E,1)/r! |
Ω |
0.25879537015814 |
Real period |
R |
8.4151161550799 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14214d2 |
Quadratic twists by: -3 |