Atkin-Lehner |
2- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
20776n |
Isogeny class |
Conductor |
20776 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-878844189160448 = -1 · 210 · 78 · 533 |
Discriminant |
Eigenvalues |
2- 3 -2 7- 2 -5 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-124411,16950374] |
[a1,a2,a3,a4,a6] |
Generators |
[5313:8036:27] |
Generators of the group modulo torsion |
j |
-1767713416452/7294973 |
j-invariant |
L |
7.9107725504832 |
L(r)(E,1)/r! |
Ω |
0.50159944059972 |
Real period |
R |
3.9427738102265 |
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 |
41552i1 2968d1 |
Quadratic twists by: -4 -7 |