Atkin-Lehner |
2- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
10192w |
Isogeny class |
Conductor |
10192 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-17189990924288 = -1 · 215 · 79 · 13 |
Discriminant |
Eigenvalues |
2- -1 -2 7- -1 13+ 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3544,216560] |
[a1,a2,a3,a4,a6] |
Generators |
[82:686:1] |
Generators of the group modulo torsion |
j |
-29791/104 |
j-invariant |
L |
2.796995451395 |
L(r)(E,1)/r! |
Ω |
0.60679408739327 |
Real period |
R |
1.1523659794588 |
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 |
1274b1 40768dk1 91728ee1 10192bi1 |
Quadratic twists by: -4 8 -3 -7 |