Atkin-Lehner |
2- 3- 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
13776o |
Isogeny class |
Conductor |
13776 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3584 |
Modular degree for the optimal curve |
Δ |
-95219712 = -1 · 212 · 34 · 7 · 41 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 0 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,48,468] |
[a1,a2,a3,a4,a6] |
Generators |
[2:24:1] |
Generators of the group modulo torsion |
j |
2924207/23247 |
j-invariant |
L |
6.4898915282858 |
L(r)(E,1)/r! |
Ω |
1.3868155319211 |
Real period |
R |
1.1699269619687 |
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 |
861a1 55104bt1 41328bo1 96432bu1 |
Quadratic twists by: -4 8 -3 -7 |