Atkin-Lehner |
2+ 3+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
12054d |
Isogeny class |
Conductor |
12054 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-122578439452056 = -1 · 23 · 33 · 712 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- 0 1 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-8509659,9551139669] |
[a1,a2,a3,a4,a6] |
j |
-579257977790409391657/1041899544 |
j-invariant |
L |
0.76092535087499 |
L(r)(E,1)/r! |
Ω |
0.38046267543749 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96432cp2 36162db2 1722g2 |
Quadratic twists by: -4 -3 -7 |