Atkin-Lehner |
2+ 3- 7+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
40194q |
Isogeny class |
Conductor |
40194 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-1144005808176 = -1 · 24 · 37 · 7 · 115 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -3 7+ 11- -1 -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,2169,-34259] |
[a1,a2,a3,a4,a6] |
Generators |
[26:185:1] [17:77:1] |
Generators of the group modulo torsion |
j |
1547612421263/1569280944 |
j-invariant |
L |
5.532652899284 |
L(r)(E,1)/r! |
Ω |
0.47186460114674 |
Real period |
R |
0.29312714313796 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13398x1 |
Quadratic twists by: -3 |