Atkin-Lehner |
5- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
86975x |
Isogeny class |
Conductor |
86975 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
8616960 |
Modular degree for the optimal curve |
Δ |
-2.2904109785342E+24 |
Discriminant |
Eigenvalues |
0 1 5- 7- 3 -1 1 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-41641833,-126502862006] |
[a1,a2,a3,a4,a6] |
Generators |
[2607200365898:549084398634397:57512456] |
Generators of the group modulo torsion |
j |
-34753212658221056/9967704111463 |
j-invariant |
L |
5.0938569775165 |
L(r)(E,1)/r! |
Ω |
0.029281194139326 |
Real period |
R |
10.872714397505 |
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 |
86975y1 12425h1 |
Quadratic twists by: 5 -7 |