Atkin-Lehner |
2- 3+ 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
5460b |
Isogeny class |
Conductor |
5460 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1344 |
Modular degree for the optimal curve |
Δ |
-9937200 = -1 · 24 · 3 · 52 · 72 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 4 13- 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5,-150] |
[a1,a2,a3,a4,a6] |
j |
-1048576/621075 |
j-invariant |
L |
2.0629106816379 |
L(r)(E,1)/r! |
Ω |
1.0314553408189 |
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 |
21840cm1 87360bz1 16380d1 27300s1 |
Quadratic twists by: -4 8 -3 5 |