Atkin-Lehner |
2+ 3- 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86394bf |
Isogeny class |
Conductor |
86394 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
12773376 |
Modular degree for the optimal curve |
Δ |
8.1929368485158E+22 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 11+ -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-33363872,72883511534] |
[a1,a2,a3,a4,a6] |
Generators |
[-1944:362077:1] |
Generators of the group modulo torsion |
j |
3085851175197767662430627/61554747171418324992 |
j-invariant |
L |
4.8311006633069 |
L(r)(E,1)/r! |
Ω |
0.10818010424636 |
Real period |
R |
0.93037376289741 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999828356 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86394cl1 |
Quadratic twists by: -11 |