Atkin-Lehner |
2+ 3+ 5+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
57720a |
Isogeny class |
Conductor |
57720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
27705600 = 28 · 32 · 52 · 13 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 0 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-36076,2649460] |
[a1,a2,a3,a4,a6] |
Generators |
[106:72:1] |
Generators of the group modulo torsion |
j |
20283874734287824/108225 |
j-invariant |
L |
4.1057501303217 |
L(r)(E,1)/r! |
Ω |
1.4310752732851 |
Real period |
R |
1.4344983129339 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997661 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115440s1 |
Quadratic twists by: -4 |