Atkin-Lehner |
2- 7- 19- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
87514r |
Isogeny class |
Conductor |
87514 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
871200 |
Modular degree for the optimal curve |
Δ |
-161803343593472 = -1 · 215 · 76 · 19 · 472 |
Discriminant |
Eigenvalues |
2- -1 2 7- -6 5 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-240052,-45373707] |
[a1,a2,a3,a4,a6] |
j |
-13003239781926577/1375305728 |
j-invariant |
L |
3.2352787758465 |
L(r)(E,1)/r! |
Ω |
0.10784262775471 |
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 |
1786f1 |
Quadratic twists by: -7 |