Atkin-Lehner |
2+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
12992s |
Isogeny class |
Conductor |
12992 |
Conductor |
∏ cp |
12 |
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 |
[-48:105:1] |
Generators of the group modulo torsion |
j |
13854050788/3411821 |
j-invariant |
L |
7.5051595569259 |
L(r)(E,1)/r! |
Ω |
0.93345781908739 |
Real period |
R |
2.6800566679644 |
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 |
12992bf2 1624d2 116928cc2 90944ch2 |
Quadratic twists by: -4 8 -3 -7 |