Atkin-Lehner |
3- 5+ 37- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
78255a |
Isogeny class |
Conductor |
78255 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
-10553860575 = -1 · 38 · 52 · 372 · 47 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 0 4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-113,4992] |
[a1,a2,a3,a4,a6] |
Generators |
[8:-72:1] |
Generators of the group modulo torsion |
j |
-217081801/14477175 |
j-invariant |
L |
3.6200723913586 |
L(r)(E,1)/r! |
Ω |
1.0596485926356 |
Real period |
R |
0.8540737975785 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002527 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26085a1 |
Quadratic twists by: -3 |