Atkin-Lehner |
2+ 3- 5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
99450bo |
Isogeny class |
Conductor |
99450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
57344 |
Modular degree for the optimal curve |
Δ |
724990500 = 22 · 38 · 53 · 13 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 0 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-297,1561] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:53:1] |
Generators of the group modulo torsion |
j |
31855013/7956 |
j-invariant |
L |
6.3219123326 |
L(r)(E,1)/r! |
Ω |
1.5038427458145 |
Real period |
R |
1.0509596717417 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029471 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33150bt1 99450dx1 |
Quadratic twists by: -3 5 |