Atkin-Lehner |
2- 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
20776j |
Isogeny class |
Conductor |
20776 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
19008 |
Modular degree for the optimal curve |
Δ |
91508141312 = 28 · 74 · 533 |
Discriminant |
Eigenvalues |
2- 0 -4 7+ 5 -1 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1127,490] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:106:1] |
Generators of the group modulo torsion |
j |
257551056/148877 |
j-invariant |
L |
3.2643366721556 |
L(r)(E,1)/r! |
Ω |
0.90917896602393 |
Real period |
R |
0.29920188013435 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41552d1 20776o1 |
Quadratic twists by: -4 -7 |