Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
50700u |
Isogeny class |
Conductor |
50700 |
Conductor |
∏ cp |
39 |
Product of Tamagawa factors cp |
deg |
56160 |
Modular degree for the optimal curve |
Δ |
1724419756800 = 28 · 313 · 52 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -3 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4788,109188] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:486:1] |
Generators of the group modulo torsion |
j |
11225615440/1594323 |
j-invariant |
L |
7.1965869675335 |
L(r)(E,1)/r! |
Ω |
0.80613592013096 |
Real period |
R |
0.22890416659846 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999857 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50700m1 50700t1 |
Quadratic twists by: 5 13 |