Atkin-Lehner |
2- 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
52416er |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
39319390656 = 26 · 39 · 74 · 13 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -4 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4359,-110360] |
[a1,a2,a3,a4,a6] |
Generators |
[2130:33565:8] |
Generators of the group modulo torsion |
j |
196325547328/842751 |
j-invariant |
L |
6.0634721723558 |
L(r)(E,1)/r! |
Ω |
0.58771259540954 |
Real period |
R |
5.1585351579045 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000048 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52416fz1 26208bm3 17472co1 |
Quadratic twists by: -4 8 -3 |