Atkin-Lehner |
7+ 23+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
10787a |
Isogeny class |
Conductor |
10787 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1944 |
Modular degree for the optimal curve |
Δ |
-5706323 = -1 · 7 · 233 · 67 |
Discriminant |
Eigenvalues |
2 0 -2 7+ 3 3 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-31,-133] |
[a1,a2,a3,a4,a6] |
Generators |
[5362:138809:8] |
Generators of the group modulo torsion |
j |
-3294646272/5706323 |
j-invariant |
L |
7.5486076079983 |
L(r)(E,1)/r! |
Ω |
0.95559022092831 |
Real period |
R |
7.8994190633986 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97083e1 75509a1 |
Quadratic twists by: -3 -7 |