Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
15210t |
Isogeny class |
Conductor |
15210 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
325248 |
Modular degree for the optimal curve |
Δ |
-3491950007520000000 = -1 · 211 · 317 · 57 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -5 13+ 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,359451,-34771307] |
[a1,a2,a3,a4,a6] |
Generators |
[167:5384:1] |
Generators of the group modulo torsion |
j |
41689615345255319/28343520000000 |
j-invariant |
L |
3.9816301582754 |
L(r)(E,1)/r! |
Ω |
0.14187017093914 |
Real period |
R |
1.0023324574851 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121680fa1 5070n1 76050er1 15210bi1 |
Quadratic twists by: -4 -3 5 13 |