Atkin-Lehner |
2- 3- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
127890ex |
Isogeny class |
Conductor |
127890 |
Conductor |
∏ cp |
608 |
Product of Tamagawa factors cp |
deg |
2334720 |
Modular degree for the optimal curve |
Δ |
-684609604013260800 = -1 · 219 · 37 · 52 · 77 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -5 -1 -4 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,64597,39287931] |
[a1,a2,a3,a4,a6] |
Generators |
[4475:-302118:1] [-2210:5511:8] |
Generators of the group modulo torsion |
j |
347577210791/7982284800 |
j-invariant |
L |
16.418723397313 |
L(r)(E,1)/r! |
Ω |
0.21473575000893 |
Real period |
R |
0.12575679305249 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999989083 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42630ba1 18270bz1 |
Quadratic twists by: -3 -7 |