Atkin-Lehner |
2+ 3- 5+ 23- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
64170k |
Isogeny class |
Conductor |
64170 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4014080 |
Modular degree for the optimal curve |
Δ |
1.9716779509593E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3191850,-2087530380] |
[a1,a2,a3,a4,a6] |
Generators |
[175858708200214013156:-1816746012540354581106:83913193159833401] |
Generators of the group modulo torsion |
j |
4933142732095233789601/270463367758479360 |
j-invariant |
L |
5.7856142216875 |
L(r)(E,1)/r! |
Ω |
0.11333652701021 |
Real period |
R |
25.52404936999 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000041 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21390r1 |
Quadratic twists by: -3 |