Atkin-Lehner |
2- 3+ 7- 13+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
38766x |
Isogeny class |
Conductor |
38766 |
Conductor |
∏ cp |
98 |
Product of Tamagawa factors cp |
deg |
119168 |
Modular degree for the optimal curve |
Δ |
-3794569903488 = -1 · 27 · 3 · 77 · 132 · 71 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -4 13+ -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,3111,67047] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:48:1] [-9:200:1] |
Generators of the group modulo torsion |
j |
3329776013228783/3794569903488 |
j-invariant |
L |
10.162518568939 |
L(r)(E,1)/r! |
Ω |
0.52340911355934 |
Real period |
R |
0.1981225897379 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116298j1 |
Quadratic twists by: -3 |