Atkin-Lehner |
2+ 3- 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
89280by |
Isogeny class |
Conductor |
89280 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3970971258716160 = 217 · 38 · 5 · 314 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-80652,8278256] |
[a1,a2,a3,a4,a6] |
Generators |
[46:2160:1] |
Generators of the group modulo torsion |
j |
607199886722/41558445 |
j-invariant |
L |
6.7394916207786 |
L(r)(E,1)/r! |
Ω |
0.43182534734993 |
Real period |
R |
1.9508730951939 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007474 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89280fn3 11160c4 29760a3 |
Quadratic twists by: -4 8 -3 |