Atkin-Lehner |
2- 3- 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
70080cb |
Isogeny class |
Conductor |
70080 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
2824979742720000 = 220 · 310 · 54 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 -2 0 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-71201,-6874785] |
[a1,a2,a3,a4,a6] |
Generators |
[-158:675:1] |
Generators of the group modulo torsion |
j |
152281858840201/10776442500 |
j-invariant |
L |
7.2067042189088 |
L(r)(E,1)/r! |
Ω |
0.2935689930673 |
Real period |
R |
1.2274293927952 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001147 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70080d1 17520n1 |
Quadratic twists by: -4 8 |