Atkin-Lehner |
2+ 3+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
13776c |
Isogeny class |
Conductor |
13776 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1518225408 = 211 · 32 · 72 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- -2 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-288,288] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:42:1] |
Generators of the group modulo torsion |
j |
1294429250/741321 |
j-invariant |
L |
4.0644134567888 |
L(r)(E,1)/r! |
Ω |
1.2907013680426 |
Real period |
R |
0.78724900225229 |
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 |
6888a2 55104df2 41328l2 96432k2 |
Quadratic twists by: -4 8 -3 -7 |