Atkin-Lehner |
2- 3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
83790el |
Isogeny class |
Conductor |
83790 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
-7300412219520 = -1 · 27 · 36 · 5 · 77 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 3 -1 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-180158,29477837] |
[a1,a2,a3,a4,a6] |
Generators |
[177:-1853:1] |
Generators of the group modulo torsion |
j |
-7539913083529/85120 |
j-invariant |
L |
9.7752929666316 |
L(r)(E,1)/r! |
Ω |
0.67490646059741 |
Real period |
R |
0.25864147584855 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999969598 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9310m1 11970bz1 |
Quadratic twists by: -3 -7 |