Atkin-Lehner |
2+ 3- 7+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
127512g |
Isogeny class |
Conductor |
127512 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-752573783808 = -1 · 28 · 38 · 7 · 112 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 11- -4 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2265,4538] |
[a1,a2,a3,a4,a6] |
Generators |
[7:144:1] |
Generators of the group modulo torsion |
j |
6885902000/4032567 |
j-invariant |
L |
4.7037119343865 |
L(r)(E,1)/r! |
Ω |
0.54479277168499 |
Real period |
R |
2.1584867782803 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999065579 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42504l2 |
Quadratic twists by: -3 |