Atkin-Lehner |
2- 3+ 17+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
28968g |
Isogeny class |
Conductor |
28968 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-827136976896 = -1 · 211 · 39 · 172 · 71 |
Discriminant |
Eigenvalues |
2- 3+ -3 3 3 -2 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,128,-43796] |
[a1,a2,a3,a4,a6] |
Generators |
[1066:12189:8] |
Generators of the group modulo torsion |
j |
112363774/403875477 |
j-invariant |
L |
4.1507167678839 |
L(r)(E,1)/r! |
Ω |
0.41343855710228 |
Real period |
R |
5.0197504521295 |
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 |
57936b1 86904g1 |
Quadratic twists by: -4 -3 |