Atkin-Lehner |
2- 3- 5+ 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
36660d |
Isogeny class |
Conductor |
36660 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
87360 |
Modular degree for the optimal curve |
Δ |
-29223940590000 = -1 · 24 · 314 · 54 · 13 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18021,960804] |
[a1,a2,a3,a4,a6] |
Generators |
[69:-225:1] |
Generators of the group modulo torsion |
j |
-40454281168420864/1826496286875 |
j-invariant |
L |
5.5514797159982 |
L(r)(E,1)/r! |
Ω |
0.65657490250467 |
Real period |
R |
0.40262912265428 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109980s1 |
Quadratic twists by: -3 |