Atkin-Lehner |
2+ 3- 37- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
48618b |
Isogeny class |
Conductor |
48618 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
178176 |
Modular degree for the optimal curve |
Δ |
2685692547072 = 212 · 38 · 372 · 73 |
Discriminant |
Eigenvalues |
2+ 3- -4 2 -4 2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-19314,1034964] |
[a1,a2,a3,a4,a6] |
Generators |
[111:-555:1] |
Generators of the group modulo torsion |
j |
1093013468029729/3684077568 |
j-invariant |
L |
3.0631359210491 |
L(r)(E,1)/r! |
Ω |
0.81215195584014 |
Real period |
R |
0.94290726599929 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000066 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16206h1 |
Quadratic twists by: -3 |