Atkin-Lehner |
2- 3+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
7872z |
Isogeny class |
Conductor |
7872 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-18137088 = -1 · 214 · 33 · 41 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 5 0 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2309,43485] |
[a1,a2,a3,a4,a6] |
Generators |
[28:1:1] |
Generators of the group modulo torsion |
j |
-83131122688/1107 |
j-invariant |
L |
2.6199194934568 |
L(r)(E,1)/r! |
Ω |
1.9876876676609 |
Real period |
R |
1.3180740294776 |
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 |
7872p1 1968c1 23616bq1 |
Quadratic twists by: -4 8 -3 |