Atkin-Lehner |
2- 3- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
120384cm |
Isogeny class |
Conductor |
120384 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4386816 |
Modular degree for the optimal curve |
Δ |
-2.3115678839805E+21 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 11+ -7 -5 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1931280,-2069706656] |
[a1,a2,a3,a4,a6] |
Generators |
[695682251:65791224297:79507] |
Generators of the group modulo torsion |
j |
66697871337344000/193534851826107 |
j-invariant |
L |
3.9206787978298 |
L(r)(E,1)/r! |
Ω |
0.07470620952449 |
Real period |
R |
13.120324400935 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999564556 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120384bp1 30096i1 40128bx1 |
Quadratic twists by: -4 8 -3 |