Atkin-Lehner |
2+ 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
3042c |
Isogeny class |
Conductor |
3042 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
19968 |
Modular degree for the optimal curve |
Δ |
-14471833040340624 = -1 · 24 · 38 · 1310 |
Discriminant |
Eigenvalues |
2+ 3- -1 2 2 13+ -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5355,5791189] |
[a1,a2,a3,a4,a6] |
j |
-169/144 |
j-invariant |
L |
1.2771099905455 |
L(r)(E,1)/r! |
Ω |
0.31927749763638 |
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 |
24336bn1 97344bd1 1014d1 76050eo1 |
Quadratic twists by: -4 8 -3 5 |