Atkin-Lehner |
2- 5+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
21350s |
Isogeny class |
Conductor |
21350 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
55610345000000 = 26 · 57 · 72 · 613 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 0 -2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-591563,-175371719] |
[a1,a2,a3,a4,a6] |
Generators |
[1175:26862:1] |
Generators of the group modulo torsion |
j |
1465233164840327401/3559062080 |
j-invariant |
L |
10.617699574879 |
L(r)(E,1)/r! |
Ω |
0.17214696226361 |
Real period |
R |
1.7132808817769 |
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 |
4270d3 |
Quadratic twists by: 5 |