Atkin-Lehner |
2+ 7+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
36176d |
Isogeny class |
Conductor |
36176 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-27000608768 = -1 · 211 · 74 · 172 · 19 |
Discriminant |
Eigenvalues |
2+ 0 -4 7+ -6 2 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,533,6330] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:54:1] [7:102:1] |
Generators of the group modulo torsion |
j |
8176649598/13183891 |
j-invariant |
L |
6.3057270004913 |
L(r)(E,1)/r! |
Ω |
0.80954504474242 |
Real period |
R |
3.8946115731575 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18088h2 |
Quadratic twists by: -4 |