Atkin-Lehner |
2- 3- 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
42900x |
Isogeny class |
Conductor |
42900 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
267227532000000 = 28 · 33 · 56 · 114 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11+ 13+ 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16708,263588] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:726:1] |
Generators of the group modulo torsion |
j |
128962402000/66806883 |
j-invariant |
L |
7.917928345818 |
L(r)(E,1)/r! |
Ω |
0.48529189443257 |
Real period |
R |
0.90643366012889 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999909 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128700s2 1716a2 |
Quadratic twists by: -3 5 |