Atkin-Lehner |
2+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
20776g |
Isogeny class |
Conductor |
20776 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
19968 |
Modular degree for the optimal curve |
Δ |
4888551248 = 24 · 78 · 53 |
Discriminant |
Eigenvalues |
2+ 2 4 7- -4 2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-751,7428] |
[a1,a2,a3,a4,a6] |
Generators |
[849:3185:27] |
Generators of the group modulo torsion |
j |
24918016/2597 |
j-invariant |
L |
9.0458759590603 |
L(r)(E,1)/r! |
Ω |
1.3275048659659 |
Real period |
R |
3.407097100348 |
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 |
41552p1 2968b1 |
Quadratic twists by: -4 -7 |