Atkin-Lehner |
2+ 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
12138o |
Isogeny class |
Conductor |
12138 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
Δ |
-5007490201361055744 = -1 · 221 · 35 · 76 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 3 7- -3 2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-317762,-127873132] |
[a1,a2,a3,a4,a6] |
j |
-42484640023394137/59954864062464 |
j-invariant |
L |
2.8691314284529 |
L(r)(E,1)/r! |
Ω |
0.095637714281762 |
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 |
97104bs2 36414db2 84966bi2 12138c2 |
Quadratic twists by: -4 -3 -7 17 |