Atkin-Lehner |
2+ 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
111328a |
Isogeny class |
Conductor |
111328 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2806272 |
Modular degree for the optimal curve |
Δ |
8451218189152256 = 212 · 78 · 713 |
Discriminant |
Eigenvalues |
2+ -2 3 7+ -4 -4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4618609,-3821990817] |
[a1,a2,a3,a4,a6] |
Generators |
[-22079195557893797:846024615921148:17793890247043] |
Generators of the group modulo torsion |
j |
461437760133952/357911 |
j-invariant |
L |
4.9454798567376 |
L(r)(E,1)/r! |
Ω |
0.10298447697095 |
Real period |
R |
24.01080241507 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111328b1 111328i1 |
Quadratic twists by: -4 -7 |