Atkin-Lehner |
2- 3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
44688bw |
Isogeny class |
Conductor |
44688 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-26288601892186032 = -1 · 24 · 37 · 78 · 194 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -2 -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5553,-7800624] |
[a1,a2,a3,a4,a6] |
Generators |
[14814119056:-395627734061:20123648] |
Generators of the group modulo torsion |
j |
-10061824000/13965589323 |
j-invariant |
L |
4.1177806008777 |
L(r)(E,1)/r! |
Ω |
0.16995819455468 |
Real period |
R |
12.114098445422 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999864 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11172s1 6384bf1 |
Quadratic twists by: -4 -7 |