Atkin-Lehner |
2+ 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
89280bk |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
5.1640952866864E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-946668,-78405712] |
[a1,a2,a3,a4,a6] |
Generators |
[40982153450355608:-1013114127337394580:30280887999809] |
Generators of the group modulo torsion |
j |
981927331418738/540451582155 |
j-invariant |
L |
6.8458451173737 |
L(r)(E,1)/r! |
Ω |
0.16371442217461 |
Real period |
R |
20.907886528348 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999906689 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89280dz3 11160p4 29760q3 |
Quadratic twists by: -4 8 -3 |