Atkin-Lehner |
2- 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
4340a |
Isogeny class |
Conductor |
4340 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
1728 |
Modular degree for the optimal curve |
Δ |
-10547936000 = -1 · 28 · 53 · 73 · 312 |
Discriminant |
Eigenvalues |
2- 1 5- 7- -3 -1 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-285,5183] |
[a1,a2,a3,a4,a6] |
Generators |
[13:62:1] |
Generators of the group modulo torsion |
j |
-10035552256/41202875 |
j-invariant |
L |
4.4423647167406 |
L(r)(E,1)/r! |
Ω |
1.1188109659084 |
Real period |
R |
0.66176873664768 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
17360bc1 69440r1 39060d1 21700b1 |
Quadratic twists by: -4 8 -3 5 |