Atkin-Lehner |
2- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
2288h |
Isogeny class |
Conductor |
2288 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
576 |
Modular degree for the optimal curve |
Δ |
-51544064 = -1 · 215 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 1 -1 -1 11- 13+ -1 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-536,-4972] |
[a1,a2,a3,a4,a6] |
Generators |
[38:176:1] |
Generators of the group modulo torsion |
j |
-4165509529/12584 |
j-invariant |
L |
3.3350275273891 |
L(r)(E,1)/r! |
Ω |
0.4959436015831 |
Real period |
R |
0.8405763066464 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
286c1 9152u1 20592z1 57200bw1 |
Quadratic twists by: -4 8 -3 5 |