Atkin-Lehner |
2+ 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
21440b |
Isogeny class |
Conductor |
21440 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
101376 |
Modular degree for the optimal curve |
Δ |
-6860800000000000 = -1 · 221 · 511 · 67 |
Discriminant |
Eigenvalues |
2+ 0 5+ 1 5 2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-33548,-4634128] |
[a1,a2,a3,a4,a6] |
Generators |
[114545971:164804357:493039] |
Generators of the group modulo torsion |
j |
-15928823248281/26171875000 |
j-invariant |
L |
4.8799859030176 |
L(r)(E,1)/r! |
Ω |
0.16691791730171 |
Real period |
R |
14.61792113724 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21440t1 670a1 107200k1 |
Quadratic twists by: -4 8 5 |