Atkin-Lehner |
2- 3- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
119064z |
Isogeny class |
Conductor |
119064 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
-9319232864304 = -1 · 24 · 36 · 117 · 41 |
Discriminant |
Eigenvalues |
2- 3- 3 3 11- -6 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-604919,180888354] |
[a1,a2,a3,a4,a6] |
Generators |
[535:3267:1] |
Generators of the group modulo torsion |
j |
-863654446077952/328779 |
j-invariant |
L |
12.272980103342 |
L(r)(E,1)/r! |
Ω |
0.59092981363945 |
Real period |
R |
0.86537209269963 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029427 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10824g1 |
Quadratic twists by: -11 |