Atkin-Lehner |
2+ 3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
83790bf |
Isogeny class |
Conductor |
83790 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1612800 |
Modular degree for the optimal curve |
Δ |
-155882345237434620 = -1 · 22 · 320 · 5 · 76 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 4 -6 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-642105,-198790439] |
[a1,a2,a3,a4,a6] |
Generators |
[16440856408:-1115340659609:3511808] |
Generators of the group modulo torsion |
j |
-341370886042369/1817528220 |
j-invariant |
L |
4.6026895211189 |
L(r)(E,1)/r! |
Ω |
0.084300420948488 |
Real period |
R |
13.649663514827 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001517 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27930cq1 1710i1 |
Quadratic twists by: -3 -7 |