Atkin-Lehner |
3+ 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
5025b |
Isogeny class |
Conductor |
5025 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1680 |
Modular degree for the optimal curve |
Δ |
-28265625 = -1 · 33 · 56 · 67 |
Discriminant |
Eigenvalues |
1 3+ 5+ 5 -4 4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-25,250] |
[a1,a2,a3,a4,a6] |
Generators |
[6:16:1] |
Generators of the group modulo torsion |
j |
-117649/1809 |
j-invariant |
L |
4.3297910235616 |
L(r)(E,1)/r! |
Ω |
1.7768151641043 |
Real period |
R |
2.436826919892 |
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 |
80400di1 15075f1 201b1 |
Quadratic twists by: -4 -3 5 |