Atkin-Lehner |
3+ 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
12075p |
Isogeny class |
Conductor |
12075 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-5.0607716710446E+20 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- 0 -4 8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,745175,-1053337250] |
[a1,a2,a3,a4,a6] |
j |
23429746579698523/259111509557481 |
j-invariant |
L |
1.9528010841282 |
L(r)(E,1)/r! |
Ω |
0.081366711838677 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36225cg2 12075t2 84525dd2 |
Quadratic twists by: -3 5 -7 |