Atkin-Lehner |
2- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
78650br |
Isogeny class |
Conductor |
78650 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
1046988800 = 211 · 52 · 112 · 132 |
Discriminant |
Eigenvalues |
2- 0 5+ 5 11- 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-265,-503] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:28:1] |
Generators of the group modulo torsion |
j |
677951505/346112 |
j-invariant |
L |
11.39679388982 |
L(r)(E,1)/r! |
Ω |
1.2499394990115 |
Real period |
R |
0.41444892826757 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002631 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78650bh1 78650k1 |
Quadratic twists by: 5 -11 |