Atkin-Lehner |
2+ 3- 5- 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
16770i |
Isogeny class |
Conductor |
16770 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
224640 |
Modular degree for the optimal curve |
Δ |
-68550519375000000 = -1 · 26 · 33 · 510 · 133 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 4 13+ -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-357098,83065628] |
[a1,a2,a3,a4,a6] |
Generators |
[309:1345:1] |
Generators of the group modulo torsion |
j |
-5035982559569706441241/68550519375000000 |
j-invariant |
L |
4.7257029934339 |
L(r)(E,1)/r! |
Ω |
0.3483009482673 |
Real period |
R |
0.45226242965487 |
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 |
50310bt1 83850by1 |
Quadratic twists by: -3 5 |