Atkin-Lehner |
2+ 3- 61- |
Signs for the Atkin-Lehner involutions |
Class |
2928f |
Isogeny class |
Conductor |
2928 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
922109184 = 28 · 310 · 61 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 2 2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-244,-244] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:36:1] |
Generators of the group modulo torsion |
j |
6301325392/3601989 |
j-invariant |
L |
3.3136877554826 |
L(r)(E,1)/r! |
Ω |
1.3081029424883 |
Real period |
R |
0.5066402112328 |
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 |
1464a2 11712t2 8784f2 73200o2 |
Quadratic twists by: -4 8 -3 5 |