Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040eg |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-28913418240 = -1 · 214 · 3 · 5 · 76 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,719,-3695] |
[a1,a2,a3,a4,a6] |
Generators |
[69:608:1] |
Generators of the group modulo torsion |
j |
21296/15 |
j-invariant |
L |
4.0443916563789 |
L(r)(E,1)/r! |
Ω |
0.66543246313787 |
Real period |
R |
3.0389197104254 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000014 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47040ci1 11760bf1 960p1 |
Quadratic twists by: -4 8 -7 |