Atkin-Lehner |
5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
79475v |
Isogeny class |
Conductor |
79475 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
528768 |
Modular degree for the optimal curve |
Δ |
-29973957754296875 = -1 · 58 · 11 · 178 |
Discriminant |
Eigenvalues |
0 1 5+ -4 11- 4 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-81883,12249519] |
[a1,a2,a3,a4,a6] |
Generators |
[-966:36121:8] |
Generators of the group modulo torsion |
j |
-557056/275 |
j-invariant |
L |
5.0176027267295 |
L(r)(E,1)/r! |
Ω |
0.34675479542227 |
Real period |
R |
1.2058479544284 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999955181 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15895h1 79475b1 |
Quadratic twists by: 5 17 |