Atkin-Lehner |
2+ 3- 5- |
Signs for the Atkin-Lehner involutions |
Class |
1440f |
Isogeny class |
Conductor |
1440 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-74649600 = -1 · 212 · 36 · 52 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -4 -6 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12,416] |
[a1,a2,a3,a4,a6] |
Generators |
[2:20:1] |
Generators of the group modulo torsion |
j |
-64/25 |
j-invariant |
L |
2.877498563285 |
L(r)(E,1)/r! |
Ω |
1.5737718872207 |
Real period |
R |
0.45710223105566 |
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 |
1440m2 2880j1 160b2 7200bk2 |
Quadratic twists by: -4 8 -3 5 |