Atkin-Lehner |
2+ 3+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
1704a |
Isogeny class |
Conductor |
1704 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
30971904 = 211 · 3 · 712 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -2 2 4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-104,-276] |
[a1,a2,a3,a4,a6] |
Generators |
[13:20:1] |
Generators of the group modulo torsion |
j |
61328594/15123 |
j-invariant |
L |
2.2076623003244 |
L(r)(E,1)/r! |
Ω |
1.5207334820619 |
Real period |
R |
2.9034177603969 |
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 |
3408d2 13632i2 5112d2 42600bc2 |
Quadratic twists by: -4 8 -3 5 |