Atkin-Lehner |
2- 5+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
52640l |
Isogeny class |
Conductor |
52640 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-277096960 = -1 · 29 · 5 · 72 · 472 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ 0 -2 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-56,-836] |
[a1,a2,a3,a4,a6] |
Generators |
[6010:164829:8] |
Generators of the group modulo torsion |
j |
-38614472/541205 |
j-invariant |
L |
3.8059879055886 |
L(r)(E,1)/r! |
Ω |
0.74354220217182 |
Real period |
R |
5.1187247939108 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000033 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52640e2 105280o2 |
Quadratic twists by: -4 8 |