Atkin-Lehner |
2+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
54080n |
Isogeny class |
Conductor |
54080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
98853048320 = 212 · 5 · 136 |
Discriminant |
Eigenvalues |
2+ 2 5+ 2 -4 13+ 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4281,108185] |
[a1,a2,a3,a4,a6] |
Generators |
[46943:354336:2197] |
Generators of the group modulo torsion |
j |
438976/5 |
j-invariant |
L |
8.7249512248006 |
L(r)(E,1)/r! |
Ω |
1.0691674589294 |
Real period |
R |
8.1605095178894 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999988 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54080s2 27040u1 320d2 |
Quadratic twists by: -4 8 13 |