Atkin-Lehner |
2+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
12064b |
Isogeny class |
Conductor |
12064 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-98385104896 = -1 · 212 · 134 · 292 |
Discriminant |
Eigenvalues |
2+ -2 -2 0 2 13+ 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6529,-205809] |
[a1,a2,a3,a4,a6] |
Generators |
[151:1508:1] |
Generators of the group modulo torsion |
j |
-7515714705472/24019801 |
j-invariant |
L |
2.5399844232512 |
L(r)(E,1)/r! |
Ω |
0.26550288097654 |
Real period |
R |
2.3916731279044 |
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 |
12064d2 24128k1 108576bm2 |
Quadratic twists by: -4 8 -3 |