Atkin-Lehner |
2+ 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
48160d |
Isogeny class |
Conductor |
48160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
19456 |
Modular degree for the optimal curve |
Δ |
3624040000 = 26 · 54 · 72 · 432 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7- -4 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-733,7068] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:120:1] |
Generators of the group modulo torsion |
j |
680543142336/56625625 |
j-invariant |
L |
4.418261180791 |
L(r)(E,1)/r! |
Ω |
1.369486490446 |
Real period |
R |
3.2262174264591 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000031 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
48160g1 96320v2 |
Quadratic twists by: -4 8 |