Atkin-Lehner |
7- 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
39347f |
Isogeny class |
Conductor |
39347 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
156800 |
Modular degree for the optimal curve |
Δ |
474426179549861 = 79 · 115 · 73 |
Discriminant |
Eigenvalues |
-1 2 -1 7- 11- 4 -4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-77911,-8337008] |
[a1,a2,a3,a4,a6] |
Generators |
[1588:61460:1] |
Generators of the group modulo torsion |
j |
1296098584327/11756723 |
j-invariant |
L |
4.7766560350185 |
L(r)(E,1)/r! |
Ω |
0.28591541142563 |
Real period |
R |
1.6706535723977 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39347g1 |
Quadratic twists by: -7 |