Atkin-Lehner |
2- 3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
121296bx |
Isogeny class |
Conductor |
121296 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
11827200 |
Modular degree for the optimal curve |
Δ |
6.5462187147369E+22 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -4 2 -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12743648,-12448502016] |
[a1,a2,a3,a4,a6] |
Generators |
[-272662166:-8007381166:117649] |
Generators of the group modulo torsion |
j |
8146748259978623875/2330074250477568 |
j-invariant |
L |
4.4900529772781 |
L(r)(E,1)/r! |
Ω |
0.081645545817997 |
Real period |
R |
13.748615508088 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000239818 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15162z1 121296cx1 |
Quadratic twists by: -4 -19 |