Atkin-Lehner |
2+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
61600m |
Isogeny class |
Conductor |
61600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
169400000000 = 29 · 58 · 7 · 112 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- 11+ 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1408,4188] |
[a1,a2,a3,a4,a6] |
j |
38614472/21175 |
j-invariant |
L |
1.7711963020071 |
L(r)(E,1)/r! |
Ω |
0.8855981529544 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61600bj2 123200cg2 12320e2 |
Quadratic twists by: -4 8 5 |