Atkin-Lehner |
2- 3+ 23- 67- |
Signs for the Atkin-Lehner involutions |
Class |
73968i |
Isogeny class |
Conductor |
73968 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
67200 |
Modular degree for the optimal curve |
Δ |
-441734529024 = -1 · 217 · 37 · 23 · 67 |
Discriminant |
Eigenvalues |
2- 3+ -1 4 -3 1 -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1696,-41216] |
[a1,a2,a3,a4,a6] |
j |
-131794519969/107845344 |
j-invariant |
L |
1.4377602741209 |
L(r)(E,1)/r! |
Ω |
0.35944006939104 |
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 |
9246h1 |
Quadratic twists by: -4 |