Atkin-Lehner |
2+ 3- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
47376o |
Isogeny class |
Conductor |
47376 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
161602947072 = 211 · 36 · 72 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 2 4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18675,982098] |
[a1,a2,a3,a4,a6] |
Generators |
[31:658:1] |
Generators of the group modulo torsion |
j |
482445281250/108241 |
j-invariant |
L |
6.5071847954493 |
L(r)(E,1)/r! |
Ω |
0.99513348944091 |
Real period |
R |
0.81737586772168 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23688g2 5264c2 |
Quadratic twists by: -4 -3 |