Atkin-Lehner |
2- 3+ 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
16698bb |
Isogeny class |
Conductor |
16698 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
245239839825395712 = 216 · 3 · 119 · 232 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 11- 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5335074,4740779055] |
[a1,a2,a3,a4,a6] |
Generators |
[-2535:45795:1] |
Generators of the group modulo torsion |
j |
9479576797126950457/138431496192 |
j-invariant |
L |
4.3807010533205 |
L(r)(E,1)/r! |
Ω |
0.28524634720897 |
Real period |
R |
1.919700767505 |
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 |
50094bd1 1518c1 |
Quadratic twists by: -3 -11 |