Atkin-Lehner |
2- 3+ 7- 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
42126q |
Isogeny class |
Conductor |
42126 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-358944844838667696 = -1 · 24 · 38 · 74 · 176 · 59 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 2 -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-401209,101806391] |
[a1,a2,a3,a4,a6] |
Generators |
[257:-4098:1] |
Generators of the group modulo torsion |
j |
-7142262037760751921937/358944844838667696 |
j-invariant |
L |
6.6619969834033 |
L(r)(E,1)/r! |
Ω |
0.29906010944345 |
Real period |
R |
1.3922780013598 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126378w2 |
Quadratic twists by: -3 |