Atkin-Lehner |
2- 3- 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
73200cn |
Isogeny class |
Conductor |
73200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-140544000000 = -1 · 214 · 32 · 56 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 1 5 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-82008,9011988] |
[a1,a2,a3,a4,a6] |
j |
-953054410321/2196 |
j-invariant |
L |
3.5720552826215 |
L(r)(E,1)/r! |
Ω |
0.89301382059754 |
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 |
9150b1 2928i1 |
Quadratic twists by: -4 5 |