Atkin-Lehner |
2+ 5- 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
64960p |
Isogeny class |
Conductor |
64960 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
57588830858854400 = 214 · 52 · 78 · 293 |
Discriminant |
Eigenvalues |
2+ 2 5- 7+ 4 -6 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-536305,-150549903] |
[a1,a2,a3,a4,a6] |
Generators |
[-1535025744:2247972265:3581577] |
Generators of the group modulo torsion |
j |
1041214291261679824/3514943289725 |
j-invariant |
L |
9.8557548584191 |
L(r)(E,1)/r! |
Ω |
0.17645528892419 |
Real period |
R |
9.309019977882 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996242 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64960cb2 8120f2 |
Quadratic twists by: -4 8 |