Atkin-Lehner |
2- 3- 67- |
Signs for the Atkin-Lehner involutions |
Class |
53868i |
Isogeny class |
Conductor |
53868 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
323136 |
Modular degree for the optimal curve |
Δ |
-4654626512888064 = -1 · 28 · 3 · 677 |
Discriminant |
Eigenvalues |
2- 3- 3 -3 2 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-55364,-6011436] |
[a1,a2,a3,a4,a6] |
j |
-810448/201 |
j-invariant |
L |
2.457797029583 |
L(r)(E,1)/r! |
Ω |
0.15361231431111 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
804c1 |
Quadratic twists by: -67 |