Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
3822l |
Isogeny class |
Conductor |
3822 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-254954089026 = -1 · 2 · 35 · 79 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- -1 13+ 1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5318,150770] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:526:1] |
Generators of the group modulo torsion |
j |
-141339344329/2167074 |
j-invariant |
L |
3.3162013800819 |
L(r)(E,1)/r! |
Ω |
0.98649741961353 |
Real period |
R |
0.16807957700391 |
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 |
30576bm1 122304br1 11466bv1 95550hb1 |
Quadratic twists by: -4 8 -3 5 |