Atkin-Lehner |
2+ 3- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
53424m |
Isogeny class |
Conductor |
53424 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
30291408 = 24 · 36 · 72 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -4 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7794,264843] |
[a1,a2,a3,a4,a6] |
Generators |
[4164:11655:64] |
Generators of the group modulo torsion |
j |
4489080625152/2597 |
j-invariant |
L |
6.9336392359969 |
L(r)(E,1)/r! |
Ω |
1.7201188350271 |
Real period |
R |
4.0309071064301 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999738 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26712l1 5936e1 |
Quadratic twists by: -4 -3 |