Atkin-Lehner |
2+ 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
28224ce |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
2.0909747848644E+19 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-692076,-26578384] |
[a1,a2,a3,a4,a6] |
Generators |
[-770:7056:1] |
Generators of the group modulo torsion |
j |
6522128932/3720087 |
j-invariant |
L |
5.0319097823081 |
L(r)(E,1)/r! |
Ω |
0.17910833129212 |
Real period |
R |
1.7558890707396 |
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 |
28224gb3 3528y3 9408i4 4032o4 |
Quadratic twists by: -4 8 -3 -7 |