Atkin-Lehner |
2+ 3+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
7872d |
Isogeny class |
Conductor |
7872 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-4461723648 = -1 · 215 · 34 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ -2 2 -4 0 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-449,5025] |
[a1,a2,a3,a4,a6] |
Generators |
[11:36:1] |
Generators of the group modulo torsion |
j |
-306182024/136161 |
j-invariant |
L |
3.1914888868481 |
L(r)(E,1)/r! |
Ω |
1.2895422237071 |
Real period |
R |
1.2374503246871 |
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 |
7872l2 3936a2 23616p2 |
Quadratic twists by: -4 8 -3 |