Atkin-Lehner |
2+ 5+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
3550a |
Isogeny class |
Conductor |
3550 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2688 |
Modular degree for the optimal curve |
Δ |
3550000000 = 27 · 58 · 71 |
Discriminant |
Eigenvalues |
2+ 1 5+ 3 -6 3 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1751,27898] |
[a1,a2,a3,a4,a6] |
Generators |
[22:1:1] |
Generators of the group modulo torsion |
j |
37966934881/227200 |
j-invariant |
L |
3.1385888019299 |
L(r)(E,1)/r! |
Ω |
1.412727671401 |
Real period |
R |
1.1108258390725 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28400s1 113600e1 31950cm1 710c1 |
Quadratic twists by: -4 8 -3 5 |