Atkin-Lehner |
2- 3- 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
87984ba |
Isogeny class |
Conductor |
87984 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-7093408038912 = -1 · 216 · 311 · 13 · 47 |
Discriminant |
Eigenvalues |
2- 3- 0 3 -1 13+ 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6915,255746] |
[a1,a2,a3,a4,a6] |
Generators |
[79:450:1] |
Generators of the group modulo torsion |
j |
-12246522625/2375568 |
j-invariant |
L |
7.759832405865 |
L(r)(E,1)/r! |
Ω |
0.71550315062578 |
Real period |
R |
2.7113201370635 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005372 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10998f1 29328h1 |
Quadratic twists by: -4 -3 |