Atkin-Lehner |
2- 3- 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
13776o |
Isogeny class |
Conductor |
13776 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3036450816 = 212 · 32 · 72 · 412 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 0 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-672,5940] |
[a1,a2,a3,a4,a6] |
Generators |
[20:30:1] |
Generators of the group modulo torsion |
j |
8205738913/741321 |
j-invariant |
L |
6.4898915282858 |
L(r)(E,1)/r! |
Ω |
1.3868155319211 |
Real period |
R |
2.3398539239374 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
861a2 55104bt2 41328bo2 96432bu2 |
Quadratic twists by: -4 8 -3 -7 |