Atkin-Lehner |
2+ 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
21440d |
Isogeny class |
Conductor |
21440 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-3153728634880 = -1 · 221 · 5 · 673 |
Discriminant |
Eigenvalues |
2+ 2 5+ -1 -3 4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1441,-87519] |
[a1,a2,a3,a4,a6] |
Generators |
[108024:1897293:343] |
Generators of the group modulo torsion |
j |
-1263214441/12030520 |
j-invariant |
L |
6.582840796266 |
L(r)(E,1)/r! |
Ω |
0.33806630413769 |
Real period |
R |
9.7360202949786 |
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 |
21440w2 670b2 107200t2 |
Quadratic twists by: -4 8 5 |