Atkin-Lehner |
2- 3- 11+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
16302r |
Isogeny class |
Conductor |
16302 |
Conductor |
∏ cp |
288 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-4664863250251776 = -1 · 216 · 39 · 114 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 3- 1 1 11+ 13+ -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1947760,1046130944] |
[a1,a2,a3,a4,a6] |
Generators |
[776:1064:1] |
Generators of the group modulo torsion |
j |
-817203191924493671120641/4664863250251776 |
j-invariant |
L |
9.6535006999426 |
L(r)(E,1)/r! |
Ω |
0.38606696098007 |
Real period |
R |
0.086821984371537 |
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 |
48906o1 |
Quadratic twists by: -3 |