Atkin-Lehner |
2+ 3- 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
21150bd |
Isogeny class |
Conductor |
21150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-1358742093750000 = -1 · 24 · 39 · 59 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-69867,7343541] |
[a1,a2,a3,a4,a6] |
Generators |
[69:1653:1] |
Generators of the group modulo torsion |
j |
-26490242141/954288 |
j-invariant |
L |
3.726984711247 |
L(r)(E,1)/r! |
Ω |
0.47838342369012 |
Real period |
R |
0.97384872852042 |
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 |
7050bi1 21150ck1 |
Quadratic twists by: -3 5 |