Atkin-Lehner |
2- 3- 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
65700c |
Isogeny class |
Conductor |
65700 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-74588947200 = -1 · 28 · 37 · 52 · 732 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 -2 -3 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,600,11860] |
[a1,a2,a3,a4,a6] |
Generators |
[-62:657:8] |
Generators of the group modulo torsion |
j |
5120000/15987 |
j-invariant |
L |
5.2822564634712 |
L(r)(E,1)/r! |
Ω |
0.76958638648216 |
Real period |
R |
1.7159400674521 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999526 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21900f1 65700p1 |
Quadratic twists by: -3 5 |