Atkin-Lehner |
2- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
10192bm |
Isogeny class |
Conductor |
10192 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-4297497731072 = -1 · 213 · 79 · 13 |
Discriminant |
Eigenvalues |
2- 3 4 7- -1 13- 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2597,-85750] |
[a1,a2,a3,a4,a6] |
j |
4019679/8918 |
j-invariant |
L |
6.4567410943491 |
L(r)(E,1)/r! |
Ω |
0.40354631839682 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1274o1 40768dg1 91728gg1 1456k1 |
Quadratic twists by: -4 8 -3 -7 |