Atkin-Lehner |
2+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
18200j |
Isogeny class |
Conductor |
18200 |
Conductor |
∏ cp |
156 |
Product of Tamagawa factors cp |
deg |
254592 |
Modular degree for the optimal curve |
Δ |
-2.7672470262343E+19 |
Discriminant |
Eigenvalues |
2+ 0 5- 7- -3 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-402575,-271518725] |
[a1,a2,a3,a4,a6] |
Generators |
[16035:2028845:1] |
Generators of the group modulo torsion |
j |
-721546155312825600/2767247026234327 |
j-invariant |
L |
4.5587762761312 |
L(r)(E,1)/r! |
Ω |
0.086645313473043 |
Real period |
R |
0.33727069215448 |
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 |
36400s1 18200o1 127400y1 |
Quadratic twists by: -4 5 -7 |