Atkin-Lehner |
3- 5+ 11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
73425j |
Isogeny class |
Conductor |
73425 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-501813984375 = -1 · 38 · 57 · 11 · 89 |
Discriminant |
Eigenvalues |
1 3- 5+ 4 11+ 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1874,-13477] |
[a1,a2,a3,a4,a6] |
Generators |
[87:856:1] |
Generators of the group modulo torsion |
j |
46617130799/32116095 |
j-invariant |
L |
11.398876796764 |
L(r)(E,1)/r! |
Ω |
0.52628132710165 |
Real period |
R |
2.707410516184 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000907 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14685c1 |
Quadratic twists by: 5 |