Atkin-Lehner |
2- 3- 19- 89- |
Signs for the Atkin-Lehner involutions |
Class |
40584bf |
Isogeny class |
Conductor |
40584 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
deg |
1354752 |
Modular degree for the optimal curve |
Δ |
-5.4793024238529E+19 |
Discriminant |
Eigenvalues |
2- 3- -3 -2 -5 -5 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,949333,9518214] |
[a1,a2,a3,a4,a6] |
Generators |
[3151:185193:1] |
Generators of the group modulo torsion |
j |
5913696134505005053952/3424564014908085891 |
j-invariant |
L |
3.6836531511277 |
L(r)(E,1)/r! |
Ω |
0.11919562846221 |
Real period |
R |
0.13796546359222 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81168h1 121752t1 |
Quadratic twists by: -4 -3 |