Atkin-Lehner |
2- 5- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
17360bc |
Isogeny class |
Conductor |
17360 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-7952032981760 = -1 · 28 · 5 · 7 · 316 |
Discriminant |
Eigenvalues |
2- -1 5- 7+ 3 -1 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,2515,125857] |
[a1,a2,a3,a4,a6] |
Generators |
[3745:59582:125] |
Generators of the group modulo torsion |
j |
6869498322944/31062628835 |
j-invariant |
L |
4.0085261099235 |
L(r)(E,1)/r! |
Ω |
0.52934699948007 |
Real period |
R |
1.89314670427 |
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 |
4340a2 69440ce2 86800br2 121520bt2 |
Quadratic twists by: -4 8 5 -7 |