Atkin-Lehner |
2- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
2992g |
Isogeny class |
Conductor |
2992 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
960 |
Modular degree for the optimal curve |
Δ |
8627683328 = 222 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 0 0 2 11- -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-515,514] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:66:1] |
Generators of the group modulo torsion |
j |
3687953625/2106368 |
j-invariant |
L |
3.4205256374789 |
L(r)(E,1)/r! |
Ω |
1.1185050577742 |
Real period |
R |
1.5290613188132 |
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 |
374a1 11968l1 26928bh1 74800ch1 |
Quadratic twists by: -4 8 -3 5 |