Atkin-Lehner |
3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
1725d |
Isogeny class |
Conductor |
1725 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
327938671875 = 3 · 58 · 234 |
Discriminant |
Eigenvalues |
1 3+ 5+ -4 -4 2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-10275,-404250] |
[a1,a2,a3,a4,a6] |
j |
7679186557489/20988075 |
j-invariant |
L |
0.94852751040587 |
L(r)(E,1)/r! |
Ω |
0.47426375520293 |
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 |
27600cp4 110400ek4 5175e4 345d3 |
Quadratic twists by: -4 8 -3 5 |