Atkin-Lehner |
2+ 5+ 23- 47- |
Signs for the Atkin-Lehner involutions |
Class |
54050b |
Isogeny class |
Conductor |
54050 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-789509025625000 = -1 · 23 · 57 · 233 · 473 |
Discriminant |
Eigenvalues |
2+ 2 5+ -2 -3 4 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,4500,-1345000] |
[a1,a2,a3,a4,a6] |
Generators |
[155:1685:1] |
Generators of the group modulo torsion |
j |
644748621119/50528577640 |
j-invariant |
L |
5.5339372245469 |
L(r)(E,1)/r! |
Ω |
0.2397018100629 |
Real period |
R |
1.2825975608633 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999374 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10810e2 |
Quadratic twists by: 5 |