Atkin-Lehner |
2- 3- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
20448i |
Isogeny class |
Conductor |
20448 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
32919479267328 = 212 · 313 · 712 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 0 -2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-104124,12929312] |
[a1,a2,a3,a4,a6] |
Generators |
[166:468:1] |
Generators of the group modulo torsion |
j |
41810827822912/11024667 |
j-invariant |
L |
5.4991152667847 |
L(r)(E,1)/r! |
Ω |
0.64077230578647 |
Real period |
R |
2.1455028631563 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20448f2 40896r1 6816b2 |
Quadratic twists by: -4 8 -3 |