Atkin-Lehner |
2+ 3+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
68544w |
Isogeny class |
Conductor |
68544 |
Conductor |
∏ cp |
12 |
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 |
[37:153:1] |
Generators of the group modulo torsion |
j |
17779581/275128 |
j-invariant |
L |
8.7133230183458 |
L(r)(E,1)/r! |
Ω |
0.40590198544444 |
Real period |
R |
1.788880758227 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000566 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68544da1 2142n1 68544q2 |
Quadratic twists by: -4 8 -3 |