Atkin-Lehner |
3- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
46389k |
Isogeny class |
Conductor |
46389 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1584544653363 = 3 · 72 · 476 |
Discriminant |
Eigenvalues |
-1 3- 2 7+ -4 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1731902,877125297] |
[a1,a2,a3,a4,a6] |
Generators |
[2694:144447:8] |
Generators of the group modulo torsion |
j |
53297461115137/147 |
j-invariant |
L |
4.3651750315307 |
L(r)(E,1)/r! |
Ω |
0.55749301624386 |
Real period |
R |
3.915004228136 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000066 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21a5 |
Quadratic twists by: -47 |