Atkin-Lehner |
3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
1725t |
Isogeny class |
Conductor |
1725 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
840 |
Modular degree for the optimal curve |
Δ |
-619921875 = -1 · 3 · 58 · 232 |
Discriminant |
Eigenvalues |
0 3- 5- 3 2 -3 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2833,-59006] |
[a1,a2,a3,a4,a6] |
j |
-6439567360/1587 |
j-invariant |
L |
1.9630889156316 |
L(r)(E,1)/r! |
Ω |
0.3271814859386 |
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 |
27600bx1 110400cn1 5175o1 1725b1 |
Quadratic twists by: -4 8 -3 5 |