Atkin-Lehner |
2+ 3- 5- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
48720ba |
Isogeny class |
Conductor |
48720 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
51156000000 = 28 · 32 · 56 · 72 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 4 -6 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1100,-9252] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:60:1] |
Generators of the group modulo torsion |
j |
575514878416/199828125 |
j-invariant |
L |
8.737774573051 |
L(r)(E,1)/r! |
Ω |
0.85247060322714 |
Real period |
R |
0.85416186591011 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000022 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24360u2 |
Quadratic twists by: -4 |