Atkin-Lehner |
2- 5- 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
43450bc |
Isogeny class |
Conductor |
43450 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
33600 |
Modular degree for the optimal curve |
Δ |
-7467968750 = -1 · 2 · 58 · 112 · 79 |
Discriminant |
Eigenvalues |
2- 1 5- 2 11- 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,112,4142] |
[a1,a2,a3,a4,a6] |
Generators |
[2374:39755:8] |
Generators of the group modulo torsion |
j |
397535/19118 |
j-invariant |
L |
11.860300984154 |
L(r)(E,1)/r! |
Ω |
1.0025078289824 |
Real period |
R |
5.9153158914437 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43450h1 |
Quadratic twists by: 5 |