Atkin-Lehner |
2+ 3- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
47526d |
Isogeny class |
Conductor |
47526 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
11340 |
Modular degree for the optimal curve |
Δ |
-12166656 = -1 · 29 · 3 · 892 |
Discriminant |
Eigenvalues |
2+ 3- 1 -1 -4 0 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,57,10] |
[a1,a2,a3,a4,a6] |
j |
2651399/1536 |
j-invariant |
L |
1.3524080934477 |
L(r)(E,1)/r! |
Ω |
1.3524080933886 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47526b1 |
Quadratic twists by: 89 |