Atkin-Lehner |
2- 7+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
3458d |
Isogeny class |
Conductor |
3458 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
256 |
Modular degree for the optimal curve |
Δ |
-6916 = -1 · 22 · 7 · 13 · 19 |
Discriminant |
Eigenvalues |
2- -2 1 7+ 3 13- -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,0,4] |
[a1,a2,a3,a4,a6] |
Generators |
[0:2:1] |
Generators of the group modulo torsion |
j |
-1/6916 |
j-invariant |
L |
3.8632137442905 |
L(r)(E,1)/r! |
Ω |
3.3414058512018 |
Real period |
R |
0.57808208824753 |
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 |
27664t1 110656d1 31122h1 86450i1 |
Quadratic twists by: -4 8 -3 5 |