Atkin-Lehner |
3- 7- 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
18291f |
Isogeny class |
Conductor |
18291 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-14448032969643 = -1 · 312 · 74 · 132 · 67 |
Discriminant |
Eigenvalues |
-2 3- -2 7- -6 13+ -5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-12384,556976] |
[a1,a2,a3,a4,a6] |
Generators |
[873:25609:1] [-93:955:1] |
Generators of the group modulo torsion |
j |
-210059153328443392/14448032969643 |
j-invariant |
L |
4.1031598837425 |
L(r)(E,1)/r! |
Ω |
0.69115209917433 |
Real period |
R |
0.061840583049727 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54873p1 128037g1 |
Quadratic twists by: -3 -7 |