Atkin-Lehner |
2+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
82810u |
Isogeny class |
Conductor |
82810 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
253305355940000000 = 28 · 57 · 78 · 133 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- 4 13- 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1060565,-419428619] |
[a1,a2,a3,a4,a6] |
Generators |
[9830:86813:8] |
Generators of the group modulo torsion |
j |
510408052788213/980000000 |
j-invariant |
L |
3.3721531672124 |
L(r)(E,1)/r! |
Ω |
0.14878710898831 |
Real period |
R |
5.6660707875107 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000075 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11830k1 82810cs1 |
Quadratic twists by: -7 13 |