Atkin-Lehner |
2- 3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
87024dg |
Isogeny class |
Conductor |
87024 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
264960 |
Modular degree for the optimal curve |
Δ |
-186882616983552 = -1 · 235 · 3 · 72 · 37 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -1 1 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-33728,2462004] |
[a1,a2,a3,a4,a6] |
j |
-21142304724625/931135488 |
j-invariant |
L |
2.2509190761912 |
L(r)(E,1)/r! |
Ω |
0.56272976284422 |
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 |
10878y1 87024bp1 |
Quadratic twists by: -4 -7 |