Atkin-Lehner |
2- 3- 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
58560dl |
Isogeny class |
Conductor |
58560 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4096 |
Modular degree for the optimal curve |
Δ |
-58560 = -1 · 26 · 3 · 5 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 0 6 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11,15] |
[a1,a2,a3,a4,a6] |
j |
-2515456/915 |
j-invariant |
L |
3.3117238076236 |
L(r)(E,1)/r! |
Ω |
3.3117238106535 |
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 |
58560ci1 29280t1 |
Quadratic twists by: -4 8 |