Atkin-Lehner |
11+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
979a |
Isogeny class |
Conductor |
979 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
40 |
Modular degree for the optimal curve |
Δ |
-979 = -1 · 11 · 89 |
Discriminant |
Eigenvalues |
0 2 3 0 11+ -1 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,1,-2] |
[a1,a2,a3,a4,a6] |
j |
32768/979 |
j-invariant |
L |
2.3873792165479 |
L(r)(E,1)/r! |
Ω |
2.3873792165479 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15664g1 62656k1 8811e1 24475b1 |
Quadratic twists by: -4 8 -3 5 |