Atkin-Lehner |
2- 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
89280ft |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
3615840000000000 = 214 · 36 · 510 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 4 4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-43452,1945296] |
[a1,a2,a3,a4,a6] |
Generators |
[222:1800:1] |
Generators of the group modulo torsion |
j |
759636032976/302734375 |
j-invariant |
L |
9.1328022872124 |
L(r)(E,1)/r! |
Ω |
0.40309601423748 |
Real period |
R |
0.56641606286976 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999928793 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89280cg2 22320bp2 9920t2 |
Quadratic twists by: -4 8 -3 |