Atkin-Lehner |
2- 3+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
6864n |
Isogeny class |
Conductor |
6864 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
137060352 = 213 · 32 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 11+ 13- 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1864,31600] |
[a1,a2,a3,a4,a6] |
Generators |
[12:104:1] |
Generators of the group modulo torsion |
j |
174958262857/33462 |
j-invariant |
L |
2.3801619757014 |
L(r)(E,1)/r! |
Ω |
1.7888346680208 |
Real period |
R |
0.33264141430339 |
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 |
858c2 27456cf2 20592bv2 75504bn2 |
Quadratic twists by: -4 8 -3 -11 |