Atkin-Lehner |
2- 3- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
87984bx |
Isogeny class |
Conductor |
87984 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
537600 |
Modular degree for the optimal curve |
Δ |
12731337415839744 = 212 · 311 · 132 · 473 |
Discriminant |
Eigenvalues |
2- 3- 1 1 1 13- -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-463152,121198768] |
[a1,a2,a3,a4,a6] |
Generators |
[2962:5499:8] |
Generators of the group modulo torsion |
j |
3679653013295104/4263699141 |
j-invariant |
L |
7.7573465773731 |
L(r)(E,1)/r! |
Ω |
0.39810961829081 |
Real period |
R |
1.6237878181025 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999948084 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5499h1 29328t1 |
Quadratic twists by: -4 -3 |