Atkin-Lehner |
2- 3- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
37926bt |
Isogeny class |
Conductor |
37926 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
148635938304 = 29 · 39 · 73 · 43 |
Discriminant |
Eigenvalues |
2- 3- -3 7- -2 -5 -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9239,343599] |
[a1,a2,a3,a4,a6] |
Generators |
[107:-810:1] [-103:492:1] |
Generators of the group modulo torsion |
j |
348765000319/594432 |
j-invariant |
L |
10.792993211301 |
L(r)(E,1)/r! |
Ω |
1.0294219811929 |
Real period |
R |
0.14561830447471 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12642g1 37926bs1 |
Quadratic twists by: -3 -7 |