Atkin-Lehner |
2- 5- 7+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
74200v |
Isogeny class |
Conductor |
74200 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
220800 |
Modular degree for the optimal curve |
Δ |
712616800000000 = 211 · 58 · 75 · 53 |
Discriminant |
Eigenvalues |
2- 1 5- 7+ 4 -3 -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-28208,1285088] |
[a1,a2,a3,a4,a6] |
Generators |
[741:19700:27] |
Generators of the group modulo torsion |
j |
3102887330/890771 |
j-invariant |
L |
7.2554128022801 |
L(r)(E,1)/r! |
Ω |
0.47253787832517 |
Real period |
R |
5.1180467098525 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000269 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74200h1 |
Quadratic twists by: 5 |