Atkin-Lehner |
2+ 3- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
12054s |
Isogeny class |
Conductor |
12054 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-10380445156872 = -1 · 23 · 38 · 76 · 412 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -4 4 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1300,-156166] |
[a1,a2,a3,a4,a6] |
j |
-2062933417/88232328 |
j-invariant |
L |
2.5283776688646 |
L(r)(E,1)/r! |
Ω |
0.31604720860807 |
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 |
96432bs2 36162co2 246d2 |
Quadratic twists by: -4 -3 -7 |