Atkin-Lehner |
3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
1725u |
Isogeny class |
Conductor |
1725 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
240 |
Modular degree for the optimal curve |
Δ |
-1785375 = -1 · 33 · 53 · 232 |
Discriminant |
Eigenvalues |
1 3- 5- 2 0 4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-36,-107] |
[a1,a2,a3,a4,a6] |
j |
-39651821/14283 |
j-invariant |
L |
2.8813622202588 |
L(r)(E,1)/r! |
Ω |
0.96045407341959 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27600bv1 110400cj1 5175s1 1725i1 |
Quadratic twists by: -4 8 -3 5 |