Atkin-Lehner |
2- 3- 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
102672bk |
Isogeny class |
Conductor |
102672 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1179648 |
Modular degree for the optimal curve |
Δ |
-723967976263385088 = -1 · 220 · 310 · 233 · 312 |
Discriminant |
Eigenvalues |
2- 3- -2 -2 0 6 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-177771,50081434] |
[a1,a2,a3,a4,a6] |
Generators |
[245:4608:1] |
Generators of the group modulo torsion |
j |
-208074558647593/242455410432 |
j-invariant |
L |
4.880330685881 |
L(r)(E,1)/r! |
Ω |
0.25846832346023 |
Real period |
R |
2.3602170138447 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019087 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12834u1 34224bj1 |
Quadratic twists by: -4 -3 |