Atkin-Lehner |
2+ 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
11704d |
Isogeny class |
Conductor |
11704 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
7116032 = 28 · 7 · 11 · 192 |
Discriminant |
Eigenvalues |
2+ -2 -2 7- 11- -6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-404,2992] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:76:1] |
Generators of the group modulo torsion |
j |
28556329552/27797 |
j-invariant |
L |
2.3029330253883 |
L(r)(E,1)/r! |
Ω |
2.345582726146 |
Real period |
R |
0.98181701276946 |
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 |
23408a2 93632j2 105336bt2 81928i2 |
Quadratic twists by: -4 8 -3 -7 |