Atkin-Lehner |
2- 3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
83790eq |
Isogeny class |
Conductor |
83790 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-189992283264000 = -1 · 210 · 313 · 53 · 72 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 1 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7538,711281] |
[a1,a2,a3,a4,a6] |
Generators |
[-39:991:1] |
Generators of the group modulo torsion |
j |
-1325911351849/5318784000 |
j-invariant |
L |
10.966872632662 |
L(r)(E,1)/r! |
Ω |
0.49476928898468 |
Real period |
R |
0.55414073163587 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27930bx1 83790ex1 |
Quadratic twists by: -3 -7 |