Atkin-Lehner |
2- 5- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
16100g |
Isogeny class |
Conductor |
16100 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3264 |
Modular degree for the optimal curve |
Δ |
-118496000 = -1 · 28 · 53 · 7 · 232 |
Discriminant |
Eigenvalues |
2- 1 5- 7+ -3 3 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,107,343] |
[a1,a2,a3,a4,a6] |
Generators |
[9:46:1] |
Generators of the group modulo torsion |
j |
4194304/3703 |
j-invariant |
L |
5.4820708189643 |
L(r)(E,1)/r! |
Ω |
1.2146736657883 |
Real period |
R |
0.37610038628542 |
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 |
64400cl1 16100j1 112700x1 |
Quadratic twists by: -4 5 -7 |