Atkin-Lehner |
2- 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
43680bf |
Isogeny class |
Conductor |
43680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
524258542080 = 29 · 38 · 5 · 74 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2016,1620] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:162:1] |
Generators of the group modulo torsion |
j |
1770682685192/1023942465 |
j-invariant |
L |
3.8109261530494 |
L(r)(E,1)/r! |
Ω |
0.78543412087317 |
Real period |
R |
1.2129999358868 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43680bu3 87360hg4 |
Quadratic twists by: -4 8 |