Atkin-Lehner |
2- 3- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
17934ba |
Isogeny class |
Conductor |
17934 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-118155361296 = -1 · 24 · 3 · 79 · 61 |
Discriminant |
Eigenvalues |
2- 3- 1 7- -4 2 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-540,17184] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:152:1] |
Generators of the group modulo torsion |
j |
-148035889/1004304 |
j-invariant |
L |
9.4561929664851 |
L(r)(E,1)/r! |
Ω |
0.90296978143734 |
Real period |
R |
1.3090406180915 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
53802bb1 2562l1 |
Quadratic twists by: -3 -7 |