Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040gr |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-7497480656977920 = -1 · 216 · 34 · 5 · 710 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7905,-4177377] |
[a1,a2,a3,a4,a6] |
Generators |
[527:11760:1] |
Generators of the group modulo torsion |
j |
-7086244/972405 |
j-invariant |
L |
8.2399508851897 |
L(r)(E,1)/r! |
Ω |
0.18546304201536 |
Real period |
R |
2.7768170128508 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000021 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47040bc3 11760c4 6720bl4 |
Quadratic twists by: -4 8 -7 |