Atkin-Lehner |
5- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
121835d |
Isogeny class |
Conductor |
121835 |
Conductor |
∏ cp |
13 |
Product of Tamagawa factors cp |
deg |
39761280 |
Modular degree for the optimal curve |
Δ |
-6.1478076291848E+25 |
Discriminant |
Eigenvalues |
0 -3 5- 7+ 4 -1 1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-26288512,380791098765] |
[a1,a2,a3,a4,a6] |
Generators |
[-6127:558437:1] |
Generators of the group modulo torsion |
j |
-13683765805056/418701171875 |
j-invariant |
L |
3.3919637861742 |
L(r)(E,1)/r! |
Ω |
0.052025024828962 |
Real period |
R |
5.015284270744 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000097133 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121835e1 |
Quadratic twists by: -59 |