Atkin-Lehner |
2+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
12064a |
Isogeny class |
Conductor |
12064 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1408 |
Modular degree for the optimal curve |
Δ |
-5597696 = -1 · 29 · 13 · 292 |
Discriminant |
Eigenvalues |
2+ -1 1 3 0 13+ 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40,164] |
[a1,a2,a3,a4,a6] |
Generators |
[16:58:1] |
Generators of the group modulo torsion |
j |
-14172488/10933 |
j-invariant |
L |
4.4076379621642 |
L(r)(E,1)/r! |
Ω |
2.2096854163135 |
Real period |
R |
0.49867256325536 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12064c1 24128i1 108576bk1 |
Quadratic twists by: -4 8 -3 |