Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040eq |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
448270925760 = 26 · 35 · 5 · 78 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3889636,2953944106] |
[a1,a2,a3,a4,a6] |
Generators |
[1239:5930:1] |
Generators of the group modulo torsion |
j |
864335783029582144/59535 |
j-invariant |
L |
2.8041186105484 |
L(r)(E,1)/r! |
Ω |
0.51853377146191 |
Real period |
R |
5.4077839571043 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000071 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47040gh1 23520w4 6720ci1 |
Quadratic twists by: -4 8 -7 |