Atkin-Lehner |
2+ 3- 5+ 19+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
41610k |
Isogeny class |
Conductor |
41610 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
404692011532225350 = 2 · 37 · 52 · 194 · 734 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -4 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-623279,186854852] |
[a1,a2,a3,a4,a6] |
Generators |
[516:1384:1] |
Generators of the group modulo torsion |
j |
26777510245199759154409/404692011532225350 |
j-invariant |
L |
2.7963650207212 |
L(r)(E,1)/r! |
Ω |
0.30013953959113 |
Real period |
R |
0.33274582698265 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124830cn4 |
Quadratic twists by: -3 |