Atkin-Lehner |
2- 3- 5- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
21360o |
Isogeny class |
Conductor |
21360 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
445858837010841600 = 238 · 36 · 52 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 0 -6 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-240080,-31985772] |
[a1,a2,a3,a4,a6] |
j |
373622928668957521/108852255129600 |
j-invariant |
L |
2.6459109555472 |
L(r)(E,1)/r! |
Ω |
0.22049257962894 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2670c1 85440x1 64080x1 106800ba1 |
Quadratic twists by: -4 8 -3 5 |