Atkin-Lehner |
2- 3+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
99960cc |
Isogeny class |
Conductor |
99960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
45159145113600 = 211 · 32 · 52 · 78 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-391843216,2985627431116] |
[a1,a2,a3,a4,a6] |
Generators |
[6566856:135102253:512] |
Generators of the group modulo torsion |
j |
27614839122506424902402/187425 |
j-invariant |
L |
5.0972685152288 |
L(r)(E,1)/r! |
Ω |
0.21349365129409 |
Real period |
R |
11.937752018175 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999647292 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14280bz5 |
Quadratic twists by: -7 |