Atkin-Lehner |
5+ 11+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
67925a |
Isogeny class |
Conductor |
67925 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
93269515625 = 56 · 11 · 134 · 19 |
Discriminant |
Eigenvalues |
1 0 5+ 0 11+ 13+ -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1517,-16984] |
[a1,a2,a3,a4,a6] |
Generators |
[124:1238:1] |
Generators of the group modulo torsion |
j |
24718462497/5969249 |
j-invariant |
L |
5.2440464649898 |
L(r)(E,1)/r! |
Ω |
0.77839904807964 |
Real period |
R |
3.3684820642399 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000829 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2717a1 |
Quadratic twists by: 5 |