Atkin-Lehner |
2+ 3+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
87024d |
Isogeny class |
Conductor |
87024 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
287616 |
Modular degree for the optimal curve |
Δ |
-48488525223936 = -1 · 211 · 3 · 78 · 372 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7+ 3 0 8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4688,309856] |
[a1,a2,a3,a4,a6] |
j |
964894/4107 |
j-invariant |
L |
1.8171179089171 |
L(r)(E,1)/r! |
Ω |
0.45427945917906 |
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 |
43512be1 87024bm1 |
Quadratic twists by: -4 -7 |