Atkin-Lehner |
2- 3- 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
21900f |
Isogeny class |
Conductor |
21900 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
6048 |
Modular degree for the optimal curve |
Δ |
-102316800 = -1 · 28 · 3 · 52 · 732 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 2 -3 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,67,-417] |
[a1,a2,a3,a4,a6] |
Generators |
[57:438:1] |
Generators of the group modulo torsion |
j |
5120000/15987 |
j-invariant |
L |
6.1564581905899 |
L(r)(E,1)/r! |
Ω |
0.96590153687628 |
Real period |
R |
1.0622991329081 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87600ba1 65700c1 21900d1 |
Quadratic twists by: -4 -3 5 |