Atkin-Lehner |
2- 3- 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
56640cn |
Isogeny class |
Conductor |
56640 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-3058560000 = -1 · 210 · 34 · 54 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-221,-3021] |
[a1,a2,a3,a4,a6] |
Generators |
[22:57:1] |
Generators of the group modulo torsion |
j |
-1171019776/2986875 |
j-invariant |
L |
6.1542179699398 |
L(r)(E,1)/r! |
Ω |
0.57598627935605 |
Real period |
R |
2.6711651780824 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000103 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56640b1 14160d1 |
Quadratic twists by: -4 8 |