Atkin-Lehner |
2- 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
10296h |
Isogeny class |
Conductor |
10296 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
9367218432 = 28 · 39 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 3+ -4 -2 11- 13+ -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16767,835650] |
[a1,a2,a3,a4,a6] |
Generators |
[21:702:1] |
Generators of the group modulo torsion |
j |
103456682352/1859 |
j-invariant |
L |
2.8157877244526 |
L(r)(E,1)/r! |
Ω |
1.1908853871427 |
Real period |
R |
0.59111224196156 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20592a1 82368h1 10296a1 113256h1 |
Quadratic twists by: -4 8 -3 -11 |