Atkin-Lehner |
2- 3- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
67518cb |
Isogeny class |
Conductor |
67518 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
10321920 |
Modular degree for the optimal curve |
Δ |
2.3676297919414E+23 |
Discriminant |
Eigenvalues |
2- 3- 2 2 11- 4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-68921744,219002469491] |
[a1,a2,a3,a4,a6] |
Generators |
[-3627:650857:1] |
Generators of the group modulo torsion |
j |
28035534600833657617/183328572506112 |
j-invariant |
L |
12.893622718269 |
L(r)(E,1)/r! |
Ω |
0.099550796114682 |
Real period |
R |
4.0474383494374 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000852 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22506r1 6138f1 |
Quadratic twists by: -3 -11 |