Atkin-Lehner |
3+ 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
57717f |
Isogeny class |
Conductor |
57717 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
22464 |
Modular degree for the optimal curve |
Δ |
-126227079 = -1 · 39 · 112 · 53 |
Discriminant |
Eigenvalues |
1 3+ 3 -3 11- 2 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-798,-8497] |
[a1,a2,a3,a4,a6] |
Generators |
[47806:96689:1331] |
Generators of the group modulo torsion |
j |
-23613579/53 |
j-invariant |
L |
7.8552875690613 |
L(r)(E,1)/r! |
Ω |
0.44903989295416 |
Real period |
R |
8.7467591323759 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000083 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
57717d1 57717h1 |
Quadratic twists by: -3 -11 |