Atkin-Lehner |
2- 3- 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
24360w |
Isogeny class |
Conductor |
24360 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2136274560000 = 210 · 34 · 54 · 72 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17416,-887680] |
[a1,a2,a3,a4,a6] |
j |
570550302376996/2086205625 |
j-invariant |
L |
1.6627075338581 |
L(r)(E,1)/r! |
Ω |
0.41567688346451 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
48720f2 73080k2 121800k2 |
Quadratic twists by: -4 -3 5 |