Atkin-Lehner |
2- 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
12936n |
Isogeny class |
Conductor |
12936 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1512621929129084928 = 211 · 32 · 714 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 11+ 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2315952,1356051852] |
[a1,a2,a3,a4,a6] |
Generators |
[453:19992:1] |
Generators of the group modulo torsion |
j |
5701568801608514/6277868289 |
j-invariant |
L |
4.5634407732481 |
L(r)(E,1)/r! |
Ω |
0.26722033761485 |
Real period |
R |
4.2693613947766 |
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 |
25872w6 103488eb6 38808bg6 1848j5 |
Quadratic twists by: -4 8 -3 -7 |