Atkin-Lehner |
2- 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
68544es |
Isogeny class |
Conductor |
68544 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
221993726976 = 210 · 37 · 73 · 172 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 -6 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12144,-514600] |
[a1,a2,a3,a4,a6] |
Generators |
[262:3780:1] |
Generators of the group modulo torsion |
j |
265327034368/297381 |
j-invariant |
L |
7.3589826872569 |
L(r)(E,1)/r! |
Ω |
0.45481873030376 |
Real period |
R |
2.6966723946257 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997879 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68544bm1 17136bp1 22848cc1 |
Quadratic twists by: -4 8 -3 |