Atkin-Lehner |
2- 3+ 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
87024cr |
Isogeny class |
Conductor |
87024 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-128429066809344 = -1 · 212 · 3 · 710 · 37 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-10992,706560] |
[a1,a2,a3,a4,a6] |
j |
-304821217/266511 |
j-invariant |
L |
2.1438293131821 |
L(r)(E,1)/r! |
Ω |
0.53595733273617 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5439h1 12432bs1 |
Quadratic twists by: -4 -7 |