Atkin-Lehner |
2- 3- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
59040bj |
Isogeny class |
Conductor |
59040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
47822400 = 26 · 36 · 52 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 2 2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-153,648] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:36:1] |
Generators of the group modulo torsion |
j |
8489664/1025 |
j-invariant |
L |
5.6536349442561 |
L(r)(E,1)/r! |
Ω |
1.9432895466881 |
Real period |
R |
1.4546558319284 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996911 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59040bi1 118080fk1 6560f1 |
Quadratic twists by: -4 8 -3 |