Atkin-Lehner |
2- 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
18800bl |
Isogeny class |
Conductor |
18800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2496 |
Modular degree for the optimal curve |
Δ |
-1504000 = -1 · 28 · 53 · 47 |
Discriminant |
Eigenvalues |
2- -2 5- 0 -6 -1 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,27,-17] |
[a1,a2,a3,a4,a6] |
Generators |
[3:10:1] |
Generators of the group modulo torsion |
j |
65536/47 |
j-invariant |
L |
2.7901281384526 |
L(r)(E,1)/r! |
Ω |
1.5101248988265 |
Real period |
R |
0.4619035386776 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4700m1 75200dm1 18800bs1 |
Quadratic twists by: -4 8 5 |