Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
40560d |
Isogeny class |
Conductor |
40560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-487932468192000 = -1 · 28 · 35 · 53 · 137 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -3 -3 13+ -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17801,-1395915] |
[a1,a2,a3,a4,a6] |
Generators |
[724:19097:1] |
Generators of the group modulo torsion |
j |
-504871936/394875 |
j-invariant |
L |
2.7893548511638 |
L(r)(E,1)/r! |
Ω |
0.19993044263111 |
Real period |
R |
3.4879066119915 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999934 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20280x1 121680bq1 3120d1 |
Quadratic twists by: -4 -3 13 |