Atkin-Lehner |
2- 3+ 5- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
83790dg |
Isogeny class |
Conductor |
83790 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
1492992 |
Modular degree for the optimal curve |
Δ |
-135668697602457600 = -1 · 218 · 33 · 52 · 79 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 6 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-105482,-22062519] |
[a1,a2,a3,a4,a6] |
j |
-40860428336307/42709811200 |
j-invariant |
L |
4.5778178068715 |
L(r)(E,1)/r! |
Ω |
0.1271616044039 |
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 |
83790g3 11970bi1 |
Quadratic twists by: -3 -7 |