Atkin-Lehner |
3- 7+ 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
50337g |
Isogeny class |
Conductor |
50337 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
574898877 = 37 · 7 · 17 · 472 |
Discriminant |
Eigenvalues |
1 3- 0 7+ 0 -4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-17127,-858452] |
[a1,a2,a3,a4,a6] |
Generators |
[1446:10381:8] |
Generators of the group modulo torsion |
j |
762174369888625/788613 |
j-invariant |
L |
5.785591921794 |
L(r)(E,1)/r! |
Ω |
0.41732852328728 |
Real period |
R |
6.9316996070276 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000087 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16779b2 |
Quadratic twists by: -3 |