Atkin-Lehner |
2- 7- |
Signs for the Atkin-Lehner involutions |
Class |
448b |
Isogeny class |
Conductor |
448 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3211264 = 216 · 72 |
Discriminant |
Eigenvalues |
2- 0 -2 7- -4 -2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-76,-240] |
[a1,a2,a3,a4,a6] |
Generators |
[12:24:1] |
Generators of the group modulo torsion |
j |
740772/49 |
j-invariant |
L |
1.7358759869411 |
L(r)(E,1)/r! |
Ω |
1.623666692621 |
Real period |
R |
2.1382171535945 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
448a2 112b2 4032bj2 11200bv2 |
Quadratic twists by: -4 8 -3 5 |