Atkin-Lehner |
3- 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
2409f |
Isogeny class |
Conductor |
2409 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-46944594939 = -1 · 3 · 118 · 73 |
Discriminant |
Eigenvalues |
-1 3- 2 -4 11- 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,863,3740] |
[a1,a2,a3,a4,a6] |
j |
71076272953967/46944594939 |
j-invariant |
L |
1.4204767190353 |
L(r)(E,1)/r! |
Ω |
0.71023835951767 |
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 |
38544i3 7227e4 60225f3 118041d3 |
Quadratic twists by: -4 -3 5 -7 |