Atkin-Lehner |
2+ 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
64192f |
Isogeny class |
Conductor |
64192 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
44544 |
Modular degree for the optimal curve |
Δ |
-4749180928 = -1 · 214 · 173 · 59 |
Discriminant |
Eigenvalues |
2+ -2 -2 -2 -3 2 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2309,-43613] |
[a1,a2,a3,a4,a6] |
Generators |
[646:16385:1] |
Generators of the group modulo torsion |
j |
-83131122688/289867 |
j-invariant |
L |
2.2423987009695 |
L(r)(E,1)/r! |
Ω |
0.34427639225184 |
Real period |
R |
6.513367605694 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001209 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64192by1 8024m1 |
Quadratic twists by: -4 8 |