Atkin-Lehner |
2- 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
6960w |
Isogeny class |
Conductor |
6960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5291114496000000 = 227 · 3 · 56 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 6 -4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8389816,9356352880] |
[a1,a2,a3,a4,a6] |
Generators |
[35796:640000:27] |
Generators of the group modulo torsion |
j |
15944875212653044225849/1291776000000 |
j-invariant |
L |
3.0741858835369 |
L(r)(E,1)/r! |
Ω |
0.3280576299919 |
Real period |
R |
2.3427178660749 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
870b4 27840eb4 20880ck4 34800dh4 |
Quadratic twists by: -4 8 -3 5 |