Atkin-Lehner |
2+ 3- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
59472r |
Isogeny class |
Conductor |
59472 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
26624 |
Modular degree for the optimal curve |
Δ |
1618589952 = 28 · 37 · 72 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 4 0 -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-615,5542] |
[a1,a2,a3,a4,a6] |
j |
137842000/8673 |
j-invariant |
L |
2.9487195780705 |
L(r)(E,1)/r! |
Ω |
1.4743597885337 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29736e1 19824h1 |
Quadratic twists by: -4 -3 |