Atkin-Lehner |
2- 5+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
43400r |
Isogeny class |
Conductor |
43400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-7443100000000 = -1 · 28 · 58 · 74 · 31 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 0 -4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2092,126688] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:350:1] |
Generators of the group modulo torsion |
j |
253012016/1860775 |
j-invariant |
L |
3.8604164985993 |
L(r)(E,1)/r! |
Ω |
0.54106469655188 |
Real period |
R |
0.44592824610486 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999926 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86800k2 8680d2 |
Quadratic twists by: -4 5 |