Atkin-Lehner |
2- 3- 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
64386bk |
Isogeny class |
Conductor |
64386 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
1693440 |
Modular degree for the optimal curve |
Δ |
-39268533096576 = -1 · 27 · 36 · 78 · 73 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ 0 -1 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6608174,-6536729923] |
[a1,a2,a3,a4,a6] |
j |
-7593748539095257/9344 |
j-invariant |
L |
0.98870900199066 |
L(r)(E,1)/r! |
Ω |
0.047081381377231 |
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 |
7154c1 64386bv1 |
Quadratic twists by: -3 -7 |