Atkin-Lehner |
2- 3+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
1722m |
Isogeny class |
Conductor |
1722 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
113914350144 = 26 · 32 · 76 · 412 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2779,52841] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:310:1] |
Generators of the group modulo torsion |
j |
2373554016849457/113914350144 |
j-invariant |
L |
3.3108093172416 |
L(r)(E,1)/r! |
Ω |
1.039933765294 |
Real period |
R |
0.35374147295978 |
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 |
13776p2 55104bj2 5166s2 43050m2 |
Quadratic twists by: -4 8 -3 5 |