Atkin-Lehner |
2+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
2336a |
Isogeny class |
Conductor |
2336 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
160 |
Modular degree for the optimal curve |
Δ |
4672 = 26 · 73 |
Discriminant |
Eigenvalues |
2+ 0 0 4 2 0 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25,48] |
[a1,a2,a3,a4,a6] |
j |
27000000/73 |
j-invariant |
L |
2.1783371843971 |
L(r)(E,1)/r! |
Ω |
4.3566743687941 |
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 |
2336b1 4672b1 21024m1 58400l1 |
Quadratic twists by: -4 8 -3 5 |