Atkin-Lehner |
2- 3+ 5- 17- 29- |
Signs for the Atkin-Lehner involutions |
Class |
118320bz |
Isogeny class |
Conductor |
118320 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
582608285798400 = 212 · 34 · 52 · 174 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20880,0] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:408:1] |
Generators of the group modulo torsion |
j |
245796699240721/142238351025 |
j-invariant |
L |
5.1848676972986 |
L(r)(E,1)/r! |
Ω |
0.43590863035714 |
Real period |
R |
1.4867988830847 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999601974 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7395m2 |
Quadratic twists by: -4 |