Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
49686db |
Isogeny class |
Conductor |
49686 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
898560 |
Modular degree for the optimal curve |
Δ |
-2335523573886192144 = -1 · 24 · 32 · 76 · 1310 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -2 13+ -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-29156,73550112] |
[a1,a2,a3,a4,a6] |
j |
-169/144 |
j-invariant |
L |
3.3442589726711 |
L(r)(E,1)/r! |
Ω |
0.20901618580211 |
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 |
1014d1 49686bf1 |
Quadratic twists by: -7 13 |