Atkin-Lehner |
3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
88935z |
Isogeny class |
Conductor |
88935 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
21288960 |
Modular degree for the optimal curve |
Δ |
1.2389040354192E+25 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- 11+ 4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-130029022,-545050680929] |
[a1,a2,a3,a4,a6] |
Generators |
[-14055243017481072762576313400:-215737098471889069221852487907:1911591311307797738418688] |
Generators of the group modulo torsion |
j |
876440017817099/44659644435 |
j-invariant |
L |
7.6796974156528 |
L(r)(E,1)/r! |
Ω |
0.044849984750898 |
Real period |
R |
42.807692422259 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008093 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12705h1 88935bc1 |
Quadratic twists by: -7 -11 |