Atkin-Lehner |
2- 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
3906t |
Isogeny class |
Conductor |
3906 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-2551336704 = -1 · 28 · 38 · 72 · 31 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 6 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-284,-2977] |
[a1,a2,a3,a4,a6] |
j |
-3463512697/3499776 |
j-invariant |
L |
4.4714289096679 |
L(r)(E,1)/r! |
Ω |
0.55892861370849 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31248bs1 124992cv1 1302g1 97650v1 |
Quadratic twists by: -4 8 -3 5 |