Atkin-Lehner |
2- 3- 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
34692n |
Isogeny class |
Conductor |
34692 |
Conductor |
∏ cp |
162 |
Product of Tamagawa factors cp |
deg |
495936 |
Modular degree for the optimal curve |
Δ |
-13809815169249456 = -1 · 24 · 36 · 78 · 593 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 6 -4 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-364037,-84851124] |
[a1,a2,a3,a4,a6] |
j |
-57843848839168/149721291 |
j-invariant |
L |
1.7489937049977 |
L(r)(E,1)/r! |
Ω |
0.097166316944688 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
104076c1 34692k1 |
Quadratic twists by: -3 -7 |