Atkin-Lehner |
2+ 3- 19- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
121752t |
Isogeny class |
Conductor |
121752 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
10838016 |
Modular degree for the optimal curve |
Δ |
-3.9944114669888E+22 |
Discriminant |
Eigenvalues |
2+ 3- 3 -2 5 -5 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,8543994,-248447783] |
[a1,a2,a3,a4,a6] |
Generators |
[428:59049:1] |
Generators of the group modulo torsion |
j |
5913696134505005053952/3424564014908085891 |
j-invariant |
L |
8.4483666874393 |
L(r)(E,1)/r! |
Ω |
0.068350066394884 |
Real period |
R |
2.207220823993 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000064895 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40584bf1 |
Quadratic twists by: -3 |