Atkin-Lehner |
2- 3- 5- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
111150fm |
Isogeny class |
Conductor |
111150 |
Conductor |
∏ cp |
360 |
Product of Tamagawa factors cp |
deg |
1497600 |
Modular degree for the optimal curve |
Δ |
-64699050184704000 = -1 · 215 · 311 · 53 · 13 · 193 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -5 13- -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-48245,12911757] |
[a1,a2,a3,a4,a6] |
Generators |
[83:3036:1] [-261:2900:1] |
Generators of the group modulo torsion |
j |
-136280796685181/710003294208 |
j-invariant |
L |
16.011417800091 |
L(r)(E,1)/r! |
Ω |
0.30224190747731 |
Real period |
R |
0.14715418164525 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000469 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37050u1 111150cf1 |
Quadratic twists by: -3 5 |