Atkin-Lehner |
3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
10647h |
Isogeny class |
Conductor |
10647 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-320205682251 = -1 · 36 · 7 · 137 |
Discriminant |
Eigenvalues |
-2 3- -3 7- -6 13+ -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,1521,-14830] |
[a1,a2,a3,a4,a6] |
Generators |
[78:760:1] |
Generators of the group modulo torsion |
j |
110592/91 |
j-invariant |
L |
1.3196526406173 |
L(r)(E,1)/r! |
Ω |
0.53459341793359 |
Real period |
R |
0.30856455493743 |
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 |
1183b1 74529bi1 819c1 |
Quadratic twists by: -3 -7 13 |