Atkin-Lehner |
41+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
1763b |
Isogeny class |
Conductor |
1763 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
80 |
Modular degree for the optimal curve |
Δ |
-1763 = -1 · 41 · 43 |
Discriminant |
Eigenvalues |
1 1 -4 3 0 0 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3,-3] |
[a1,a2,a3,a4,a6] |
j |
-1771561/1763 |
j-invariant |
L |
1.8212337024689 |
L(r)(E,1)/r! |
Ω |
1.8212337024689 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28208f1 112832e1 15867g1 44075a1 |
Quadratic twists by: -4 8 -3 5 |