Atkin-Lehner |
2+ 3- 5+ 19+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
41610k |
Isogeny class |
Conductor |
41610 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
Δ |
-1586505556751545350 = -1 · 2 · 328 · 52 · 19 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -4 -2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,270221,-27350548] |
[a1,a2,a3,a4,a6] |
Generators |
[280:8243:1] |
Generators of the group modulo torsion |
j |
2182143530656395749591/1586505556751545350 |
j-invariant |
L |
2.7963650207212 |
L(r)(E,1)/r! |
Ω |
0.15006976979557 |
Real period |
R |
1.3309833079306 |
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 |
124830cn3 |
Quadratic twists by: -3 |