Atkin-Lehner |
2+ 3- 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
99960bp |
Isogeny class |
Conductor |
99960 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
7741440 |
Modular degree for the optimal curve |
Δ |
-7.3739566682775E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 -4 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4950780,-5921645472] |
[a1,a2,a3,a4,a6] |
j |
-445570549505984464/244834365234375 |
j-invariant |
L |
2.9606125463176 |
L(r)(E,1)/r! |
Ω |
0.049343539817158 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14280c1 |
Quadratic twists by: -7 |