Atkin-Lehner |
7- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
43771i |
Isogeny class |
Conductor |
43771 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-4019661155419 = -1 · 73 · 132 · 375 |
Discriminant |
Eigenvalues |
-2 -2 -1 7- 3 13+ 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-5906,197604] |
[a1,a2,a3,a4,a6] |
Generators |
[8:388:1] |
Generators of the group modulo torsion |
j |
-134831345299456/23784977251 |
j-invariant |
L |
1.9315147447891 |
L(r)(E,1)/r! |
Ω |
0.75214840019601 |
Real period |
R |
0.17119979198068 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000035 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43771c1 |
Quadratic twists by: 13 |