Atkin-Lehner |
3- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
12075x |
Isogeny class |
Conductor |
12075 |
Conductor |
∏ cp |
45 |
Product of Tamagawa factors cp |
Δ |
-1.1516545694041E+21 |
Discriminant |
Eigenvalues |
0 3- 5- 7- -3 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,698417,-1616985881] |
[a1,a2,a3,a4,a6] |
Generators |
[11002:352943:8] |
Generators of the group modulo torsion |
j |
96451161348669440/2948235697674603 |
j-invariant |
L |
4.5785085102349 |
L(r)(E,1)/r! |
Ω |
0.074452047278239 |
Real period |
R |
1.3665793927807 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36225cf2 12075a2 84525bf2 |
Quadratic twists by: -3 5 -7 |