Atkin-Lehner |
5- 7- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
73255r |
Isogeny class |
Conductor |
73255 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
4043520 |
Modular degree for the optimal curve |
Δ |
-3.0757454384329E+22 |
Discriminant |
Eigenvalues |
-1 0 5- 7- 2 13- 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1265557,-8455338594] |
[a1,a2,a3,a4,a6] |
Generators |
[16816:2165354:1] |
Generators of the group modulo torsion |
j |
-1905374204380617489/261434048604990625 |
j-invariant |
L |
4.5027241847317 |
L(r)(E,1)/r! |
Ω |
0.052139948147421 |
Real period |
R |
0.4797690686723 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985251 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10465a1 |
Quadratic twists by: -7 |