Atkin-Lehner |
2+ 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
3042f |
Isogeny class |
Conductor |
3042 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-23420758473216 = -1 · 29 · 36 · 137 |
Discriminant |
Eigenvalues |
2+ 3- -3 1 6 13+ 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-698931,225080181] |
[a1,a2,a3,a4,a6] |
j |
-10730978619193/6656 |
j-invariant |
L |
1.1142816969113 |
L(r)(E,1)/r! |
Ω |
0.55714084845565 |
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 |
24336by3 97344cl3 338c3 76050eh3 |
Quadratic twists by: -4 8 -3 5 |