Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040fb |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-29989922627911680 = -1 · 218 · 34 · 5 · 710 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 -6 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,54815,-6728063] |
[a1,a2,a3,a4,a6] |
j |
590589719/972405 |
j-invariant |
L |
1.5670738516529 |
L(r)(E,1)/r! |
Ω |
0.19588423149068 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47040df3 11760ce4 6720bx4 |
Quadratic twists by: -4 8 -7 |