Atkin-Lehner |
2+ 3- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
83790ck |
Isogeny class |
Conductor |
83790 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
41914224955653750 = 2 · 37 · 54 · 76 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-97029,6213703] |
[a1,a2,a3,a4,a6] |
Generators |
[359:4010:1] |
Generators of the group modulo torsion |
j |
1177918188481/488703750 |
j-invariant |
L |
6.0062192372531 |
L(r)(E,1)/r! |
Ω |
0.32743564851196 |
Real period |
R |
0.57322515722523 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003449 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27930ch3 1710d4 |
Quadratic twists by: -3 -7 |