Atkin-Lehner |
2+ 3+ 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
12078a |
Isogeny class |
Conductor |
12078 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1411382882954575872 = 216 · 33 · 118 · 612 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -2 11+ -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-992757,376659253] |
[a1,a2,a3,a4,a6] |
Generators |
[506:1667:1] |
Generators of the group modulo torsion |
j |
4007643371736519220875/52273440109428736 |
j-invariant |
L |
2.9798216687524 |
L(r)(E,1)/r! |
Ω |
0.27071917667086 |
Real period |
R |
2.7517644902334 |
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 |
96624y2 12078q2 |
Quadratic twists by: -4 -3 |