Atkin-Lehner |
2- 3- 5+ 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
128100s |
Isogeny class |
Conductor |
128100 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
230580000000 = 28 · 33 · 57 · 7 · 61 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 1 -3 7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1533,63] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:150:1] |
Generators of the group modulo torsion |
j |
99672064/57645 |
j-invariant |
L |
10.005494409859 |
L(r)(E,1)/r! |
Ω |
0.84081930632636 |
Real period |
R |
0.66109424227753 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999701286 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25620a1 |
Quadratic twists by: 5 |