Atkin-Lehner |
2+ 3- 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
71232bw |
Isogeny class |
Conductor |
71232 |
Conductor |
∏ cp |
32 |
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 |
[15:24:1] [63:504:1] |
Generators of the group modulo torsion |
j |
830584/210357 |
j-invariant |
L |
10.536226156991 |
L(r)(E,1)/r! |
Ω |
0.62528338234785 |
Real period |
R |
0.52657255366122 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000034 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71232k1 35616e1 |
Quadratic twists by: -4 8 |