Atkin-Lehner |
2- 3- 5+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
19890x |
Isogeny class |
Conductor |
19890 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
-5.6155045415625E+20 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -2 13- 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3954308,3235202727] |
[a1,a2,a3,a4,a6] |
Generators |
[785:24393:1] |
Generators of the group modulo torsion |
j |
-9380102000370554601721/770302406250000000 |
j-invariant |
L |
7.1269407420934 |
L(r)(E,1)/r! |
Ω |
0.16053020933343 |
Real period |
R |
1.5855806766141 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6630f2 99450m2 |
Quadratic twists by: -3 5 |