Atkin-Lehner |
2- 5+ 23- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
70150m |
Isogeny class |
Conductor |
70150 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
-43843750 = -1 · 2 · 56 · 23 · 61 |
Discriminant |
Eigenvalues |
2- -2 5+ 3 0 -2 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-63,367] |
[a1,a2,a3,a4,a6] |
Generators |
[-66:181:8] |
Generators of the group modulo torsion |
j |
-1771561/2806 |
j-invariant |
L |
7.3962750638537 |
L(r)(E,1)/r! |
Ω |
1.8178458259881 |
Real period |
R |
4.0687031634286 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001393 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2806a1 |
Quadratic twists by: 5 |