Atkin-Lehner |
2- 3+ 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
99960cu |
Isogeny class |
Conductor |
99960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
829453685760 = 210 · 34 · 5 · 76 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-89000,10249212] |
[a1,a2,a3,a4,a6] |
Generators |
[182:216:1] |
Generators of the group modulo torsion |
j |
647158135396/6885 |
j-invariant |
L |
5.4690780134882 |
L(r)(E,1)/r! |
Ω |
0.80763497921385 |
Real period |
R |
1.6929300188388 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020454 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2040m3 |
Quadratic twists by: -7 |