Atkin-Lehner |
2+ 3- 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
59040v |
Isogeny class |
Conductor |
59040 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
269001000000 = 26 · 38 · 56 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -2 6 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1857,-18056] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:50:1] |
Generators of the group modulo torsion |
j |
15179306176/5765625 |
j-invariant |
L |
6.9242568206231 |
L(r)(E,1)/r! |
Ω |
0.75086961515649 |
Real period |
R |
1.5369416741937 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000151 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59040o1 118080ee1 19680ba1 |
Quadratic twists by: -4 8 -3 |