Atkin-Lehner |
2+ 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
68544cc |
Isogeny class |
Conductor |
68544 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1522242699264 = 214 · 38 · 72 · 172 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 -6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4476,-98800] |
[a1,a2,a3,a4,a6] |
Generators |
[-43:119:1] |
Generators of the group modulo torsion |
j |
830321872/127449 |
j-invariant |
L |
3.7469255433299 |
L(r)(E,1)/r! |
Ω |
0.58970427817664 |
Real period |
R |
1.588476496567 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000255 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
68544dp2 8568k2 22848r2 |
Quadratic twists by: -4 8 -3 |