Atkin-Lehner |
2- 3- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
36162dd |
Isogeny class |
Conductor |
36162 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
1324083448898784 = 25 · 36 · 77 · 413 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 0 -2 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-35069,1832037] |
[a1,a2,a3,a4,a6] |
Generators |
[-75:2046:1] |
Generators of the group modulo torsion |
j |
55611739513/15438304 |
j-invariant |
L |
6.8060893180557 |
L(r)(E,1)/r! |
Ω |
0.44964550806771 |
Real period |
R |
0.50455223028934 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4018c1 5166bf1 |
Quadratic twists by: -3 -7 |