Atkin-Lehner |
2+ 3+ 5+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
57720b |
Isogeny class |
Conductor |
57720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
163598797440000 = 210 · 312 · 54 · 13 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16336,-511460] |
[a1,a2,a3,a4,a6] |
Generators |
[5194:129525:8] |
Generators of the group modulo torsion |
j |
470855355630916/159764450625 |
j-invariant |
L |
5.5127871883169 |
L(r)(E,1)/r! |
Ω |
0.43389315109512 |
Real period |
R |
6.352701321253 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996874 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
115440t3 |
Quadratic twists by: -4 |