Atkin-Lehner |
2- 7- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
73892g |
Isogeny class |
Conductor |
73892 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2838528 |
Modular degree for the optimal curve |
Δ |
108559988294487184 = 24 · 710 · 134 · 292 |
Discriminant |
Eigenvalues |
2- -3 -3 7- -5 13+ 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1990429,1080740521] |
[a1,a2,a3,a4,a6] |
Generators |
[912:4901:1] |
Generators of the group modulo torsion |
j |
192958271960832/24019801 |
j-invariant |
L |
2.1579743921625 |
L(r)(E,1)/r! |
Ω |
0.32162991205264 |
Real period |
R |
1.6773738316665 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001526 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73892d1 |
Quadratic twists by: -7 |