Atkin-Lehner |
2+ 3- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
47658p |
Isogeny class |
Conductor |
47658 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
6071040 |
Modular degree for the optimal curve |
Δ |
-3.2138346890365E+21 |
Discriminant |
Eigenvalues |
2+ 3- -2 4 -6 13- 5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-11165847,-14618680646] |
[a1,a2,a3,a4,a6] |
j |
-70075889188465261030021/1462828715992940544 |
j-invariant |
L |
1.9797072768599 |
L(r)(E,1)/r! |
Ω |
0.041243901586755 |
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 |
47658bf1 |
Quadratic twists by: 13 |