Atkin-Lehner |
2+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
20776c |
Isogeny class |
Conductor |
20776 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1632 |
Modular degree for the optimal curve |
Δ |
41552 = 24 · 72 · 53 |
Discriminant |
Eigenvalues |
2+ -2 0 7- -5 1 -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-23,-50] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:1:1] [17:69:1] |
Generators of the group modulo torsion |
j |
1792000/53 |
j-invariant |
L |
5.4250402759205 |
L(r)(E,1)/r! |
Ω |
2.1761603122893 |
Real period |
R |
1.2464707322535 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41552h1 20776a1 |
Quadratic twists by: -4 -7 |