Atkin-Lehner |
3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
1725l |
Isogeny class |
Conductor |
1725 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
864 |
Modular degree for the optimal curve |
Δ |
615954375 = 34 · 54 · 233 |
Discriminant |
Eigenvalues |
-1 3+ 5- -3 -1 1 -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-763,7706] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:105:1] |
Generators of the group modulo torsion |
j |
78605490625/985527 |
j-invariant |
L |
1.4564914948532 |
L(r)(E,1)/r! |
Ω |
1.6316343072228 |
Real period |
R |
0.14877634124322 |
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 |
27600df1 110400fh1 5175q1 1725n1 |
Quadratic twists by: -4 8 -3 5 |