Atkin-Lehner |
2- 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
15600be |
Isogeny class |
Conductor |
15600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
-2496000000 = -1 · 212 · 3 · 56 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -4 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,192,2112] |
[a1,a2,a3,a4,a6] |
Generators |
[2:50:1] [8:64:1] |
Generators of the group modulo torsion |
j |
12167/39 |
j-invariant |
L |
5.466717198482 |
L(r)(E,1)/r! |
Ω |
1.0225935242843 |
Real period |
R |
1.3364834288163 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
975g1 62400ho1 46800dm1 624h1 |
Quadratic twists by: -4 8 -3 5 |