Atkin-Lehner |
2- 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
129360dn |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
7902720 |
Modular degree for the optimal curve |
Δ |
-4.6729259238921E+21 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11- 0 5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3349624,2289985776] |
[a1,a2,a3,a4,a6] |
Generators |
[-614:1210:1] |
Generators of the group modulo torsion |
j |
176022219667511/197899468800 |
j-invariant |
L |
5.9991477299964 |
L(r)(E,1)/r! |
Ω |
0.091378202134462 |
Real period |
R |
3.2825923830463 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998732075 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16170s1 129360hw1 |
Quadratic twists by: -4 -7 |