Atkin-Lehner |
2+ 3+ 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
53064c |
Isogeny class |
Conductor |
53064 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
40849940736 = 28 · 39 · 112 · 67 |
Discriminant |
Eigenvalues |
2+ 3+ 2 2 11- -4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-999,7290] |
[a1,a2,a3,a4,a6] |
Generators |
[-270:405:8] |
Generators of the group modulo torsion |
j |
21882096/8107 |
j-invariant |
L |
7.6826090363283 |
L(r)(E,1)/r! |
Ω |
1.0478991267715 |
Real period |
R |
3.6657197434449 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000049 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106128a1 53064m1 |
Quadratic twists by: -4 -3 |