Atkin-Lehner |
2- 3+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
53424r |
Isogeny class |
Conductor |
53424 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
161280 |
Modular degree for the optimal curve |
Δ |
-214399193186304 = -1 · 222 · 39 · 72 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-31779,2291490] |
[a1,a2,a3,a4,a6] |
Generators |
[-153:1890:1] |
Generators of the group modulo torsion |
j |
-44024370291/2659328 |
j-invariant |
L |
7.2804908699671 |
L(r)(E,1)/r! |
Ω |
0.55337104260607 |
Real period |
R |
3.2891542515689 |
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 |
6678a1 53424u1 |
Quadratic twists by: -4 -3 |