Atkin-Lehner |
3+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
46389g |
Isogeny class |
Conductor |
46389 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-324723 = -1 · 3 · 72 · 472 |
Discriminant |
Eigenvalues |
2 3+ -2 7+ 6 1 -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,16,-19] |
[a1,a2,a3,a4,a6] |
j |
192512/147 |
j-invariant |
L |
3.4048993838588 |
L(r)(E,1)/r! |
Ω |
1.7024496915104 |
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 |
46389f1 |
Quadratic twists by: -47 |