Atkin-Lehner |
2- 3+ 5+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
58560ce |
Isogeny class |
Conductor |
58560 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-971440128000 = -1 · 219 · 35 · 53 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 2 -1 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1601,53985] |
[a1,a2,a3,a4,a6] |
j |
-1732323601/3705750 |
j-invariant |
L |
1.5644281949046 |
L(r)(E,1)/r! |
Ω |
0.78221409756732 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58560bb1 14640bn1 |
Quadratic twists by: -4 8 |