Atkin-Lehner |
3- 5+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
17775bc |
Isogeny class |
Conductor |
17775 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-1066333359375 = -1 · 37 · 57 · 792 |
Discriminant |
Eigenvalues |
-1 3- 5+ 4 -6 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5855,-177978] |
[a1,a2,a3,a4,a6] |
Generators |
[3960:247146:1] |
Generators of the group modulo torsion |
j |
-1948441249/93615 |
j-invariant |
L |
3.3256492233336 |
L(r)(E,1)/r! |
Ω |
0.27213104202722 |
Real period |
R |
6.1103819662752 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5925c1 3555h1 |
Quadratic twists by: -3 5 |