Atkin-Lehner |
2- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
25886a |
Isogeny class |
Conductor |
25886 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
26208 |
Modular degree for the optimal curve |
Δ |
-176998165372 = -1 · 22 · 7 · 436 |
Discriminant |
Eigenvalues |
2- 2 0 7+ 0 -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-963,-23683] |
[a1,a2,a3,a4,a6] |
Generators |
[2168445546:253393993765:157464] |
Generators of the group modulo torsion |
j |
-15625/28 |
j-invariant |
L |
11.116332802244 |
L(r)(E,1)/r! |
Ω |
0.40427103807994 |
Real period |
R |
13.748613869349 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14a4 |
Quadratic twists by: -43 |