Atkin-Lehner |
2+ 3- 5- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
16770l |
Isogeny class |
Conductor |
16770 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
1032192 |
Modular degree for the optimal curve |
Δ |
-2.274341711616E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 4 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2193233,-1445671132] |
[a1,a2,a3,a4,a6] |
j |
-1166749820684838378998281/227434171161600000000 |
j-invariant |
L |
3.4374639451679 |
L(r)(E,1)/r! |
Ω |
0.061383284735141 |
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 |
50310cb1 83850bt1 |
Quadratic twists by: -3 5 |