Atkin-Lehner |
2+ 3+ 17- 83- |
Signs for the Atkin-Lehner involutions |
Class |
67728d |
Isogeny class |
Conductor |
67728 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16640 |
Modular degree for the optimal curve |
Δ |
8669184 = 211 · 3 · 17 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 1 0 4 5 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-120,528] |
[a1,a2,a3,a4,a6] |
Generators |
[8:4:1] |
Generators of the group modulo torsion |
j |
94091762/4233 |
j-invariant |
L |
6.53023685423 |
L(r)(E,1)/r! |
Ω |
2.2947093143716 |
Real period |
R |
0.71144488911526 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990362 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33864g1 |
Quadratic twists by: -4 |