Atkin-Lehner |
2- 3+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
25584p |
Isogeny class |
Conductor |
25584 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
943128576 = 216 · 33 · 13 · 41 |
Discriminant |
Eigenvalues |
2- 3+ -1 2 -3 13+ -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-536,-4368] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:14:1] |
Generators of the group modulo torsion |
j |
4165509529/230256 |
j-invariant |
L |
3.8849133216598 |
L(r)(E,1)/r! |
Ω |
0.99548442483852 |
Real period |
R |
1.951267757047 |
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 |
3198c1 102336cq1 76752bo1 |
Quadratic twists by: -4 8 -3 |