Atkin-Lehner |
2+ 3- 19+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
46056d |
Isogeny class |
Conductor |
46056 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
85696 |
Modular degree for the optimal curve |
Δ |
783233494272 = 28 · 313 · 19 · 101 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 -5 -6 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7809,259587] |
[a1,a2,a3,a4,a6] |
Generators |
[3:486:1] |
Generators of the group modulo torsion |
j |
205743265580032/3059505837 |
j-invariant |
L |
5.7069608049825 |
L(r)(E,1)/r! |
Ω |
0.89840968943268 |
Real period |
R |
0.12215946415129 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000022 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
92112e1 |
Quadratic twists by: -4 |