Atkin-Lehner |
2- 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040fp |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
376320 |
Modular degree for the optimal curve |
Δ |
-24710934782520000 = -1 · 26 · 37 · 54 · 710 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -6 -3 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-60825,9535527] |
[a1,a2,a3,a4,a6] |
j |
-1376628736/1366875 |
j-invariant |
L |
1.3772125474586 |
L(r)(E,1)/r! |
Ω |
0.34430313694095 |
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 |
47040dr1 11760cj1 47040fs1 |
Quadratic twists by: -4 8 -7 |