Atkin-Lehner |
2+ 3- 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
47376j |
Isogeny class |
Conductor |
47376 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-313320607488 = -1 · 28 · 312 · 72 · 47 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -2 0 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1689,-3386] |
[a1,a2,a3,a4,a6] |
Generators |
[5:72:1] [9:112:1] |
Generators of the group modulo torsion |
j |
2855256752/1678887 |
j-invariant |
L |
8.3176698429422 |
L(r)(E,1)/r! |
Ω |
0.5681737346026 |
Real period |
R |
3.6598267996142 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23688m2 15792i2 |
Quadratic twists by: -4 -3 |