Atkin-Lehner |
2+ 3- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
15582k |
Isogeny class |
Conductor |
15582 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
-4332914697638070936 = -1 · 23 · 35 · 710 · 534 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,367523,51755120] |
[a1,a2,a3,a4,a6] |
Generators |
[466:17774:1] |
Generators of the group modulo torsion |
j |
46664942971332167/36829167248664 |
j-invariant |
L |
3.3106345669416 |
L(r)(E,1)/r! |
Ω |
0.15807235694936 |
Real period |
R |
2.0943792012933 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124656ci3 46746bv3 2226b4 |
Quadratic twists by: -4 -3 -7 |