Atkin-Lehner |
2- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
10192x |
Isogeny class |
Conductor |
10192 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-9351200768 = -1 · 221 · 73 · 13 |
Discriminant |
Eigenvalues |
2- -1 -2 7- 5 13+ -8 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-32384,-2232320] |
[a1,a2,a3,a4,a6] |
Generators |
[320:4480:1] |
Generators of the group modulo torsion |
j |
-2673465150439/6656 |
j-invariant |
L |
3.0320053566949 |
L(r)(E,1)/r! |
Ω |
0.17794498542072 |
Real period |
R |
2.1298755269263 |
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 |
1274h1 40768dl1 91728ek1 10192bj1 |
Quadratic twists by: -4 8 -3 -7 |