Atkin-Lehner |
2- 3- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
53424bj |
Isogeny class |
Conductor |
53424 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-930230786271677184 = -1 · 28 · 320 · 7 · 533 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -1 0 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-661008,-211992356] |
[a1,a2,a3,a4,a6] |
j |
-171149787988688896/4984518530691 |
j-invariant |
L |
2.6743766837878 |
L(r)(E,1)/r! |
Ω |
0.083574271365847 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13356a1 17808bc1 |
Quadratic twists by: -4 -3 |