Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040eb |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
27892413158400 = 210 · 33 · 52 · 79 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10061,297165] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:645:1] |
Generators of the group modulo torsion |
j |
2725888/675 |
j-invariant |
L |
4.8890670250822 |
L(r)(E,1)/r! |
Ω |
0.62416835710984 |
Real period |
R |
3.9164649804578 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000043 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47040ce1 11760be1 47040gs1 |
Quadratic twists by: -4 8 -7 |