Atkin-Lehner |
2- 3+ 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
78498bf |
Isogeny class |
Conductor |
78498 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
-46165501482912 = -1 · 25 · 39 · 77 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -4 -4 -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-64910,6389821] |
[a1,a2,a3,a4,a6] |
Generators |
[79:-1363:1] |
Generators of the group modulo torsion |
j |
-13060888875/19936 |
j-invariant |
L |
8.680840289489 |
L(r)(E,1)/r! |
Ω |
0.63753559782015 |
Real period |
R |
0.34040610103936 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005044 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78498h1 11214i1 |
Quadratic twists by: -3 -7 |