Atkin-Lehner |
2+ 3+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
71232k |
Isogeny class |
Conductor |
71232 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
45056 |
Modular degree for the optimal curve |
Δ |
-6892978176 = -1 · 215 · 34 · 72 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7+ 3 -4 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,63,3969] |
[a1,a2,a3,a4,a6] |
Generators |
[9:-72:1] [-7:56:1] |
Generators of the group modulo torsion |
j |
830584/210357 |
j-invariant |
L |
7.2830703057517 |
L(r)(E,1)/r! |
Ω |
1.0291160421548 |
Real period |
R |
0.44231347628776 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71232bw1 35616u1 |
Quadratic twists by: -4 8 |