Atkin-Lehner |
3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
1725n |
Isogeny class |
Conductor |
1725 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4320 |
Modular degree for the optimal curve |
Δ |
9624287109375 = 34 · 510 · 233 |
Discriminant |
Eigenvalues |
1 3- 5+ 3 -1 -1 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-19076,1001423] |
[a1,a2,a3,a4,a6] |
j |
78605490625/985527 |
j-invariant |
L |
2.9187561802968 |
L(r)(E,1)/r! |
Ω |
0.7296890450742 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27600bt1 110400n1 5175m1 1725l1 |
Quadratic twists by: -4 8 -3 5 |