Atkin-Lehner |
2- 3+ 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
1722j |
Isogeny class |
Conductor |
1722 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
94889088 = 27 · 32 · 72 · 412 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 2 -6 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6138,182535] |
[a1,a2,a3,a4,a6] |
Generators |
[55:-151:1] |
Generators of the group modulo torsion |
j |
25574596275390625/94889088 |
j-invariant |
L |
3.4980804704663 |
L(r)(E,1)/r! |
Ω |
1.6664274810052 |
Real period |
R |
0.14993925244011 |
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 |
13776w2 55104y2 5166g2 43050v2 |
Quadratic twists by: -4 8 -3 5 |