Atkin-Lehner |
3- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
1725r |
Isogeny class |
Conductor |
1725 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
400 |
Modular degree for the optimal curve |
Δ |
134765625 = 3 · 59 · 23 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 0 -4 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-138,267] |
[a1,a2,a3,a4,a6] |
Generators |
[11:5:1] |
Generators of the group modulo torsion |
j |
148877/69 |
j-invariant |
L |
2.2121943395081 |
L(r)(E,1)/r! |
Ω |
1.6509867142917 |
Real period |
R |
2.6798451136625 |
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 |
27600ca1 110400bt1 5175v1 1725k1 |
Quadratic twists by: -4 8 -3 5 |