Atkin-Lehner |
2- 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
20776m |
Isogeny class |
Conductor |
20776 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-312867279872 = -1 · 210 · 78 · 53 |
Discriminant |
Eigenvalues |
2- -1 2 7- -2 -1 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,768,-25892] |
[a1,a2,a3,a4,a6] |
Generators |
[166:2156:1] |
Generators of the group modulo torsion |
j |
415292/2597 |
j-invariant |
L |
4.3191088536489 |
L(r)(E,1)/r! |
Ω |
0.48345615971648 |
Real period |
R |
2.2334542475277 |
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 |
41552g1 2968f1 |
Quadratic twists by: -4 -7 |