Atkin-Lehner |
2+ 3- 79- |
Signs for the Atkin-Lehner involutions |
Class |
37446g |
Isogeny class |
Conductor |
37446 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1048320 |
Modular degree for the optimal curve |
Δ |
-8495194810389184512 = -1 · 214 · 33 · 797 |
Discriminant |
Eigenvalues |
2+ 3- 2 3 -5 -1 -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,502270,29922644] |
[a1,a2,a3,a4,a6] |
Generators |
[141:10105:1] |
Generators of the group modulo torsion |
j |
57646656647/34947072 |
j-invariant |
L |
6.0580308730296 |
L(r)(E,1)/r! |
Ω |
0.14278278571982 |
Real period |
R |
3.5356916699785 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112338u1 474a1 |
Quadratic twists by: -3 -79 |