Atkin-Lehner |
2- 3- 7- 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
96642cb |
Isogeny class |
Conductor |
96642 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
229376 |
Modular degree for the optimal curve |
Δ |
13403543392512 = 28 · 37 · 74 · 132 · 59 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7961,211065] |
[a1,a2,a3,a4,a6] |
Generators |
[-97:300:1] [-79:624:1] |
Generators of the group modulo torsion |
j |
76532854417993/18386204928 |
j-invariant |
L |
14.896009418047 |
L(r)(E,1)/r! |
Ω |
0.66451361656931 |
Real period |
R |
1.4010256003794 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000146 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
32214f1 |
Quadratic twists by: -3 |