Atkin-Lehner |
3- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
1725s |
Isogeny class |
Conductor |
1725 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
386747883984375 = 316 · 58 · 23 |
Discriminant |
Eigenvalues |
-1 3- 5- -5 5 1 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-20763,654642] |
[a1,a2,a3,a4,a6] |
Generators |
[27:-351:1] |
Generators of the group modulo torsion |
j |
2534167381585/990074583 |
j-invariant |
L |
2.0532759381179 |
L(r)(E,1)/r! |
Ω |
0.48647433483467 |
Real period |
R |
0.087931837264674 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27600cf1 110400cd1 5175y1 1725e1 |
Quadratic twists by: -4 8 -3 5 |