Atkin-Lehner |
2- 7+ 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
8246d |
Isogeny class |
Conductor |
8246 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-39730881949696 = -1 · 212 · 74 · 194 · 31 |
Discriminant |
Eigenvalues |
2- 0 -2 7+ 4 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6151,-354049] |
[a1,a2,a3,a4,a6] |
Generators |
[107:398:1] |
Generators of the group modulo torsion |
j |
-25733253533414337/39730881949696 |
j-invariant |
L |
5.3913139602891 |
L(r)(E,1)/r! |
Ω |
0.25563470571814 |
Real period |
R |
3.5149856675001 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
65968q1 74214f1 57722o1 |
Quadratic twists by: -4 -3 -7 |