Atkin-Lehner |
2- 3- 23- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
73968m |
Isogeny class |
Conductor |
73968 |
Conductor |
∏ cp |
25 |
Product of Tamagawa factors cp |
deg |
132000 |
Modular degree for the optimal curve |
Δ |
-1676641606128 = -1 · 24 · 35 · 235 · 67 |
Discriminant |
Eigenvalues |
2- 3- 0 0 2 6 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-20838,-1166445] |
[a1,a2,a3,a4,a6] |
j |
-62545010800864000/104790100383 |
j-invariant |
L |
4.9664973833399 |
L(r)(E,1)/r! |
Ω |
0.19865989523771 |
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 |
18492b1 |
Quadratic twists by: -4 |