Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
67032cn |
Isogeny class |
Conductor |
67032 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
61323462643968 = 28 · 37 · 78 · 19 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -6 -4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12495,383474] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:882:1] |
Generators of the group modulo torsion |
j |
9826000/2793 |
j-invariant |
L |
4.7060151130273 |
L(r)(E,1)/r! |
Ω |
0.58004454070533 |
Real period |
R |
1.0141495142305 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989809 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22344g1 9576t1 |
Quadratic twists by: -3 -7 |