Atkin-Lehner |
2- 3+ 41+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
21156a |
Isogeny class |
Conductor |
21156 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
67680 |
Modular degree for the optimal curve |
Δ |
-13887005559552 = -1 · 28 · 32 · 41 · 435 |
Discriminant |
Eigenvalues |
2- 3+ 4 3 -2 6 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5901,252153] |
[a1,a2,a3,a4,a6] |
j |
-88783893274624/54246115467 |
j-invariant |
L |
3.9171247685794 |
L(r)(E,1)/r! |
Ω |
0.65285412809657 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84624y1 63468g1 |
Quadratic twists by: -4 -3 |