Atkin-Lehner |
2+ 3+ 7- 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
16926m |
Isogeny class |
Conductor |
16926 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
143360 |
Modular degree for the optimal curve |
Δ |
14973231219867648 = 228 · 32 · 7 · 134 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- -2 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-112735,-13373819] |
[a1,a2,a3,a4,a6] |
Generators |
[-173:1081:1] |
Generators of the group modulo torsion |
j |
158455033253818197625/14973231219867648 |
j-invariant |
L |
3.0960500995628 |
L(r)(E,1)/r! |
Ω |
0.26212522356146 |
Real period |
R |
2.9528349632832 |
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 |
50778bs1 118482bj1 |
Quadratic twists by: -3 -7 |