Atkin-Lehner |
2+ 3- 5+ 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
45240g |
Isogeny class |
Conductor |
45240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-10162713600 = -1 · 210 · 34 · 52 · 132 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 0 13- -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,424,-3360] |
[a1,a2,a3,a4,a6] |
Generators |
[12:60:1] |
Generators of the group modulo torsion |
j |
8212902044/9924525 |
j-invariant |
L |
8.2123839880147 |
L(r)(E,1)/r! |
Ω |
0.690607112527 |
Real period |
R |
1.4864428412053 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90480d2 |
Quadratic twists by: -4 |