Atkin-Lehner |
2+ 3+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
1344a |
Isogeny class |
Conductor |
1344 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1040449536 = 218 · 34 · 72 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ -4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-257,-255] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:35:1] |
Generators of the group modulo torsion |
j |
7189057/3969 |
j-invariant |
L |
2.4893223729121 |
L(r)(E,1)/r! |
Ω |
1.2759470489917 |
Real period |
R |
1.9509605628848 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1344r2 21a1 4032h2 33600dd2 |
Quadratic twists by: -4 8 -3 5 |