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 |
50194867949420544 = 214 · 312 · 78 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-445116,113793680] |
[a1,a2,a3,a4,a6] |
Generators |
[-608:12636:1] |
Generators of the group modulo torsion |
j |
6940769488/35721 |
j-invariant |
L |
5.0319097823081 |
L(r)(E,1)/r! |
Ω |
0.35821666258425 |
Real period |
R |
3.5117781414793 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
28224gb2 3528y2 9408i2 4032o2 |
Quadratic twists by: -4 8 -3 -7 |