Atkin-Lehner |
31- 41- |
Signs for the Atkin-Lehner involutions |
Class |
1271a |
Isogeny class |
Conductor |
1271 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
52111 = 31 · 412 |
Discriminant |
Eigenvalues |
1 0 2 2 -4 -4 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-166,-783] |
[a1,a2,a3,a4,a6] |
Generators |
[3636:24627:64] |
Generators of the group modulo torsion |
j |
507596683833/52111 |
j-invariant |
L |
3.373951025244 |
L(r)(E,1)/r! |
Ω |
1.3296968542583 |
Real period |
R |
5.0747672515568 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20336b2 81344g2 11439f2 31775h2 |
Quadratic twists by: -4 8 -3 5 |