Atkin-Lehner |
41+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
75809h |
Isogeny class |
Conductor |
75809 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
147840 |
Modular degree for the optimal curve |
Δ |
-11144563055387 = -1 · 41 · 437 |
Discriminant |
Eigenvalues |
-1 -1 4 -3 0 0 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4661,200046] |
[a1,a2,a3,a4,a6] |
j |
-1771561/1763 |
j-invariant |
L |
1.3084500511744 |
L(r)(E,1)/r! |
Ω |
0.65422503761366 |
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 |
1763b1 |
Quadratic twists by: -43 |