Atkin-Lehner |
2+ 3- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
73206w |
Isogeny class |
Conductor |
73206 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-34183459782486 = -1 · 2 · 36 · 710 · 83 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 0 -3 -2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-14856,-747874] |
[a1,a2,a3,a4,a6] |
j |
-1760913/166 |
j-invariant |
L |
0.43013120423473 |
L(r)(E,1)/r! |
Ω |
0.21506560744199 |
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 |
8134f1 73206e1 |
Quadratic twists by: -3 -7 |