Atkin-Lehner |
2+ 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
28224cb |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1.4166999530044E+21 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -4 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2935884,685259120] |
[a1,a2,a3,a4,a6] |
Generators |
[-167922920:-8516525004:166375] |
Generators of the group modulo torsion |
j |
124475734657/63011844 |
j-invariant |
L |
6.3062077790322 |
L(r)(E,1)/r! |
Ω |
0.13406829632725 |
Real period |
R |
11.759319600137 |
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 |
28224ft3 882e3 9408p4 4032i4 |
Quadratic twists by: -4 8 -3 -7 |