Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800bu |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
790272000 = 211 · 32 · 53 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 -2 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1528,-22448] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:6:1] |
Generators of the group modulo torsion |
j |
4496182/9 |
j-invariant |
L |
4.968245368126 |
L(r)(E,1)/r! |
Ω |
0.76365510468956 |
Real period |
R |
1.6264689837295 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998971 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29400cb2 58800ee2 58800ed2 |
Quadratic twists by: -4 5 -7 |