Atkin-Lehner |
2+ 3- 5- 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
64890bo |
Isogeny class |
Conductor |
64890 |
Conductor |
∏ cp |
1008 |
Product of Tamagawa factors cp |
deg |
32514048 |
Modular degree for the optimal curve |
Δ |
6.8785774372389E+26 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 2 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-332310924,1960789715068] |
[a1,a2,a3,a4,a6] |
Generators |
[80582:-22365916:1] |
Generators of the group modulo torsion |
j |
5567113024874907029745617089/943563434463500976562500 |
j-invariant |
L |
5.654951791936 |
L(r)(E,1)/r! |
Ω |
0.048617326983143 |
Real period |
R |
0.46156969709068 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998518 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21630n1 |
Quadratic twists by: -3 |