Atkin-Lehner |
2+ 5+ 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
58520c |
Isogeny class |
Conductor |
58520 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
235440590000000000 = 210 · 510 · 72 · 113 · 192 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- 11- 0 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-166936,11952864] |
[a1,a2,a3,a4,a6] |
Generators |
[-308:5852:1] |
Generators of the group modulo torsion |
j |
502430929003900516/229922451171875 |
j-invariant |
L |
4.3310880373531 |
L(r)(E,1)/r! |
Ω |
0.28067557407443 |
Real period |
R |
1.285911694647 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000241 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117040c2 |
Quadratic twists by: -4 |