Atkin-Lehner |
2- 3- 83- |
Signs for the Atkin-Lehner involutions |
Class |
3984f |
Isogeny class |
Conductor |
3984 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-9179136 = -1 · 212 · 33 · 83 |
Discriminant |
Eigenvalues |
2- 3- 1 0 3 -6 -4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-880,-10348] |
[a1,a2,a3,a4,a6] |
j |
-18420660721/2241 |
j-invariant |
L |
2.6293951221321 |
L(r)(E,1)/r! |
Ω |
0.43823252035534 |
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 |
249a1 15936p1 11952m1 99600bn1 |
Quadratic twists by: -4 8 -3 5 |