Atkin-Lehner |
2+ 7- 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
95942k |
Isogeny class |
Conductor |
95942 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
546485632 = 27 · 72 · 11 · 892 |
Discriminant |
Eigenvalues |
2+ -1 -4 7- 11+ 1 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-242,820] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:51:1] [-42:377:8] |
Generators of the group modulo torsion |
j |
32193988729/11152768 |
j-invariant |
L |
5.0619806680751 |
L(r)(E,1)/r! |
Ω |
1.5089484071759 |
Real period |
R |
1.6773206569904 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001377 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95942b1 |
Quadratic twists by: -7 |