Atkin-Lehner |
2- 5- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
17050m |
Isogeny class |
Conductor |
17050 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
2.748955230208E+21 |
Discriminant |
Eigenvalues |
2- 0 5- -4 11+ 0 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3584055,677090447] |
[a1,a2,a3,a4,a6] |
Generators |
[-957:57310:1] |
Generators of the group modulo torsion |
j |
2606859088214565933/1407465077866496 |
j-invariant |
L |
6.0656648728504 |
L(r)(E,1)/r! |
Ω |
0.1253256007171 |
Real period |
R |
3.0249530214413 |
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 |
17050g1 |
Quadratic twists by: 5 |