Atkin-Lehner |
3- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
1725q |
Isogeny class |
Conductor |
1725 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
1080 |
Modular degree for the optimal curve |
Δ |
-6507691875 = -1 · 39 · 54 · 232 |
Discriminant |
Eigenvalues |
0 3- 5- -1 -6 5 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,467,244] |
[a1,a2,a3,a4,a6] |
Generators |
[2:34:1] |
Generators of the group modulo torsion |
j |
17983078400/10412307 |
j-invariant |
L |
2.8002614113552 |
L(r)(E,1)/r! |
Ω |
0.80019631357325 |
Real period |
R |
0.58324467047566 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
27600cd1 110400bw1 5175u1 1725c1 |
Quadratic twists by: -4 8 -3 5 |