Atkin-Lehner |
2- 3- 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
87600ci |
Isogeny class |
Conductor |
87600 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1520640 |
Modular degree for the optimal curve |
Δ |
-290635776000000000 = -1 · 223 · 35 · 59 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ -5 2 2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-104008,-29008012] |
[a1,a2,a3,a4,a6] |
Generators |
[428:2250:1] |
Generators of the group modulo torsion |
j |
-1944232280641/4541184000 |
j-invariant |
L |
7.1183603101119 |
L(r)(E,1)/r! |
Ω |
0.1241505994892 |
Real period |
R |
2.866824781472 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007174 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10950d1 17520q1 |
Quadratic twists by: -4 5 |