Atkin-Lehner |
2- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
10192bo |
Isogeny class |
Conductor |
10192 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
28224 |
Modular degree for the optimal curve |
Δ |
763813073296 = 24 · 710 · 132 |
Discriminant |
Eigenvalues |
2- -3 3 7- 5 13- 1 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2401,16807] |
[a1,a2,a3,a4,a6] |
j |
338688/169 |
j-invariant |
L |
1.59105877996 |
L(r)(E,1)/r! |
Ω |
0.79552938997998 |
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 |
2548k1 40768dd1 91728gd1 10192n1 |
Quadratic twists by: -4 8 -3 -7 |