Atkin-Lehner |
2- 3+ 7+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
20916f |
Isogeny class |
Conductor |
20916 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
-1446918932592 = -1 · 24 · 33 · 79 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ -4 1 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2811,-7663] |
[a1,a2,a3,a4,a6] |
Generators |
[818:9291:8] |
Generators of the group modulo torsion |
j |
5686204859136/3349349381 |
j-invariant |
L |
5.7254915084454 |
L(r)(E,1)/r! |
Ω |
0.49972013372138 |
Real period |
R |
5.728698047253 |
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 |
83664bg1 20916c1 |
Quadratic twists by: -4 -3 |