Atkin-Lehner |
2- 3+ 5- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
118320bz |
Isogeny class |
Conductor |
118320 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
4709472975360000 = 212 · 32 · 54 · 172 · 294 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-228960,42115392] |
[a1,a2,a3,a4,a6] |
Generators |
[-336:9000:1] |
Generators of the group modulo torsion |
j |
324074239251135841/1149773675625 |
j-invariant |
L |
5.1848676972986 |
L(r)(E,1)/r! |
Ω |
0.43590863035714 |
Real period |
R |
2.9735977661693 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999601974 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
7395m3 |
Quadratic twists by: -4 |