Atkin-Lehner |
2+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
3904b |
Isogeny class |
Conductor |
3904 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-255852544 = -1 · 222 · 61 |
Discriminant |
Eigenvalues |
2+ 2 -1 -5 3 3 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,159,-31] |
[a1,a2,a3,a4,a6] |
j |
1685159/976 |
j-invariant |
L |
2.0973489095471 |
L(r)(E,1)/r! |
Ω |
1.0486744547735 |
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 |
3904i1 122a1 35136v1 97600u1 |
Quadratic twists by: -4 8 -3 5 |