Atkin-Lehner |
2- 3+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
68544da |
Isogeny class |
Conductor |
68544 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-1947325169664 = -1 · 221 · 33 · 7 · 173 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ -3 -5 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1044,65872] |
[a1,a2,a3,a4,a6] |
Generators |
[218:3264:1] |
Generators of the group modulo torsion |
j |
17779581/275128 |
j-invariant |
L |
6.9816078358911 |
L(r)(E,1)/r! |
Ω |
0.61713019814403 |
Real period |
R |
0.47137593876378 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000201 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68544w1 17136r1 68544cv2 |
Quadratic twists by: -4 8 -3 |