Atkin-Lehner |
2- 3+ 5- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
52290bx |
Isogeny class |
Conductor |
52290 |
Conductor |
∏ cp |
1248 |
Product of Tamagawa factors cp |
deg |
4073472 |
Modular degree for the optimal curve |
Δ |
4.1130260315505E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -2 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9328097,-10520329679] |
[a1,a2,a3,a4,a6] |
Generators |
[-1889:19844:1] |
Generators of the group modulo torsion |
j |
4560490302781131326187/208963371008000000 |
j-invariant |
L |
10.422249716135 |
L(r)(E,1)/r! |
Ω |
0.086632628229986 |
Real period |
R |
0.38558966994825 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000037 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52290c1 |
Quadratic twists by: -3 |