Atkin-Lehner |
2- 3- 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
21360l |
Isogeny class |
Conductor |
21360 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-4257356267520 = -1 · 214 · 38 · 5 · 892 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 0 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-696,-99756] |
[a1,a2,a3,a4,a6] |
Generators |
[132:1458:1] |
Generators of the group modulo torsion |
j |
-9116230969/1039393620 |
j-invariant |
L |
6.0975376973385 |
L(r)(E,1)/r! |
Ω |
0.34501815468379 |
Real period |
R |
2.2091365391072 |
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 |
2670a2 85440be2 64080bg2 106800x2 |
Quadratic twists by: -4 8 -3 5 |