Atkin-Lehner |
3- 13- 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
83421l |
Isogeny class |
Conductor |
83421 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
227328 |
Modular degree for the optimal curve |
Δ |
-1985148431487 = -1 · 312 · 132 · 23 · 312 |
Discriminant |
Eigenvalues |
1 3- 4 -4 6 13- 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,1935,-59832] |
[a1,a2,a3,a4,a6] |
Generators |
[13236:187017:64] |
Generators of the group modulo torsion |
j |
1098785291759/2723111703 |
j-invariant |
L |
10.009559683618 |
L(r)(E,1)/r! |
Ω |
0.42826477202701 |
Real period |
R |
5.843090730191 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005619 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27807n1 |
Quadratic twists by: -3 |