Atkin-Lehner |
2+ 3- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
59040j |
Isogeny class |
Conductor |
59040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9576960 |
Modular degree for the optimal curve |
Δ |
-3.2820693584944E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 2 0 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20250723,-93955851578] |
[a1,a2,a3,a4,a6] |
j |
-2460638542909233980168/8793267099875634375 |
j-invariant |
L |
0.26111929321525 |
L(r)(E,1)/r! |
Ω |
0.032639911695077 |
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 |
59040i1 118080fo1 19680bf1 |
Quadratic twists by: -4 8 -3 |