Atkin-Lehner |
2+ 3+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
2496b |
Isogeny class |
Conductor |
2496 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
504631296 = 212 · 36 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 2 0 4 13+ -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-937,11305] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:135:1] |
Generators of the group modulo torsion |
j |
22235451328/123201 |
j-invariant |
L |
3.1154670108105 |
L(r)(E,1)/r! |
Ω |
1.662069988047 |
Real period |
R |
1.8744499528996 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2496h2 1248e1 7488r2 62400cr2 |
Quadratic twists by: -4 8 -3 5 |