Atkin-Lehner |
2- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
10192y |
Isogeny class |
Conductor |
10192 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-15195701248 = -1 · 218 · 73 · 132 |
Discriminant |
Eigenvalues |
2- 2 -2 7- -4 13+ 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,96,5888] |
[a1,a2,a3,a4,a6] |
Generators |
[2:78:1] |
Generators of the group modulo torsion |
j |
68921/10816 |
j-invariant |
L |
5.3245443983167 |
L(r)(E,1)/r! |
Ω |
0.95915119900223 |
Real period |
R |
1.3878271756986 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1274j1 40768eb1 91728eh1 10192bk1 |
Quadratic twists by: -4 8 -3 -7 |