Atkin-Lehner |
2- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
12992bf |
Isogeny class |
Conductor |
12992 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
223597101056 = 216 · 76 · 29 |
Discriminant |
Eigenvalues |
2- -2 2 7+ 0 -2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2017,-27105] |
[a1,a2,a3,a4,a6] |
Generators |
[241:3680:1] |
Generators of the group modulo torsion |
j |
13854050788/3411821 |
j-invariant |
L |
3.5466170480275 |
L(r)(E,1)/r! |
Ω |
0.72519035790551 |
Real period |
R |
4.8906014943039 |
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 |
12992s2 3248a2 116928dm2 90944ee2 |
Quadratic twists by: -4 8 -3 -7 |