Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
93600dq |
Isogeny class |
Conductor |
93600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
29615625000000000 = 29 · 36 · 514 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -4 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-78075,1397250] |
[a1,a2,a3,a4,a6] |
Generators |
[846:23256:1] |
Generators of the group modulo torsion |
j |
9024895368/5078125 |
j-invariant |
L |
3.706563255587 |
L(r)(E,1)/r! |
Ω |
0.32128870742126 |
Real period |
R |
5.7682750333567 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999906976 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
93600do3 10400b2 18720k3 |
Quadratic twists by: -4 -3 5 |