Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040ef |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-6.483222598324E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,17715199,-26027278815] |
[a1,a2,a3,a4,a6] |
Generators |
[52477115516233:3368636194968304:27189441343] |
Generators of the group modulo torsion |
j |
79743193254623804/84085819746075 |
j-invariant |
L |
4.7127052161209 |
L(r)(E,1)/r! |
Ω |
0.049323653934547 |
Real period |
R |
23.886638763588 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999615 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47040ch3 11760bg4 6720cl4 |
Quadratic twists by: -4 8 -7 |