Atkin-Lehner |
2- 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53856z |
Isogeny class |
Conductor |
53856 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-161371533312 = -1 · 212 · 36 · 11 · 173 |
Discriminant |
Eigenvalues |
2- 3- 2 5 11- -2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3864,94448] |
[a1,a2,a3,a4,a6] |
j |
-2136719872/54043 |
j-invariant |
L |
4.0815194337697 |
L(r)(E,1)/r! |
Ω |
1.0203798589916 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53856u1 107712dp1 5984b1 |
Quadratic twists by: -4 8 -3 |