Atkin-Lehner |
2+ 3- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
43344p |
Isogeny class |
Conductor |
43344 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
104448 |
Modular degree for the optimal curve |
Δ |
-286655023872 = -1 · 28 · 312 · 72 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- -5 -7 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2028,43580] |
[a1,a2,a3,a4,a6] |
j |
-4942652416/1536003 |
j-invariant |
L |
3.6878181840452 |
L(r)(E,1)/r! |
Ω |
0.92195454607966 |
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 |
21672k1 14448g1 |
Quadratic twists by: -4 -3 |