Atkin-Lehner |
2- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
976a |
Isogeny class |
Conductor |
976 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
192 |
Modular degree for the optimal curve |
Δ |
-3997696 = -1 · 216 · 61 |
Discriminant |
Eigenvalues |
2- 2 1 5 3 -3 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,40,-16] |
[a1,a2,a3,a4,a6] |
j |
1685159/976 |
j-invariant |
L |
2.9438845374592 |
L(r)(E,1)/r! |
Ω |
1.4719422687296 |
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 |
122a1 3904i1 8784q1 24400q1 |
Quadratic twists by: -4 8 -3 5 |