Atkin-Lehner |
2- 3+ 5- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
66300t |
Isogeny class |
Conductor |
66300 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
5736192 |
Modular degree for the optimal curve |
Δ |
-2.533399138198E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 -3 13+ 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-22545778,-41902681523] |
[a1,a2,a3,a4,a6] |
j |
-633708328354227342480128/12666995690990079699 |
j-invariant |
L |
1.5224447325627 |
L(r)(E,1)/r! |
Ω |
0.034601016697663 |
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 |
66300bo1 |
Quadratic twists by: 5 |