Atkin-Lehner |
3- 5- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
98325cb |
Isogeny class |
Conductor |
98325 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
21600 |
Modular degree for the optimal curve |
Δ |
-199108125 = -1 · 36 · 54 · 19 · 23 |
Discriminant |
Eigenvalues |
-1 3- 5- -3 0 0 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5,-678] |
[a1,a2,a3,a4,a6] |
Generators |
[18:60:1] |
Generators of the group modulo torsion |
j |
-25/437 |
j-invariant |
L |
2.5806275589157 |
L(r)(E,1)/r! |
Ω |
0.81411907486445 |
Real period |
R |
3.1698404351514 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999859811 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10925g1 98325bh1 |
Quadratic twists by: -3 5 |