Atkin-Lehner |
2- 3+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
83790cv |
Isogeny class |
Conductor |
83790 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
79872 |
Modular degree for the optimal curve |
Δ |
-42247755900 = -1 · 22 · 33 · 52 · 77 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 2 -6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-83,-9873] |
[a1,a2,a3,a4,a6] |
j |
-19683/13300 |
j-invariant |
L |
2.0582497351373 |
L(r)(E,1)/r! |
Ω |
0.51456242255123 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83790q1 11970bm1 |
Quadratic twists by: -3 -7 |