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 |
1427765132783517696 = 222 · 310 · 78 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -4 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2371404,1404406640] |
[a1,a2,a3,a4,a6] |
Generators |
[6797:547085:1] |
Generators of the group modulo torsion |
j |
65597103937/63504 |
j-invariant |
L |
6.3062077790322 |
L(r)(E,1)/r! |
Ω |
0.2681365926545 |
Real period |
R |
5.8796598000687 |
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 |
28224ft2 882e2 9408p2 4032i2 |
Quadratic twists by: -4 8 -3 -7 |