Atkin-Lehner |
2- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
10192n |
Isogeny class |
Conductor |
10192 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4032 |
Modular degree for the optimal curve |
Δ |
6492304 = 24 · 74 · 132 |
Discriminant |
Eigenvalues |
2- 3 -3 7+ 5 13+ -1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-49,-49] |
[a1,a2,a3,a4,a6] |
j |
338688/169 |
j-invariant |
L |
3.8005530753673 |
L(r)(E,1)/r! |
Ω |
1.9002765376837 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2548a1 40768ch1 91728dl1 10192bo1 |
Quadratic twists by: -4 8 -3 -7 |