Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
61200en |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
1254791250000 = 24 · 310 · 57 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -6 -2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5700,-156625] |
[a1,a2,a3,a4,a6] |
Generators |
[205:2700:1] |
Generators of the group modulo torsion |
j |
112377856/6885 |
j-invariant |
L |
5.3027092565551 |
L(r)(E,1)/r! |
Ω |
0.55156042376234 |
Real period |
R |
2.4035033280879 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998826 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15300m1 20400cc1 12240br1 |
Quadratic twists by: -4 -3 5 |