Atkin-Lehner |
2+ 3+ 5+ 7+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
21210c |
Isogeny class |
Conductor |
21210 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
19249729380 = 22 · 34 · 5 · 76 · 101 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 4 2 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2068,-36452] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:28:1] |
Generators of the group modulo torsion |
j |
978821296874569/19249729380 |
j-invariant |
L |
2.7806103790092 |
L(r)(E,1)/r! |
Ω |
0.70876707979417 |
Real period |
R |
1.9615826258584 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63630bt1 106050by1 |
Quadratic twists by: -3 5 |