Atkin-Lehner |
2- 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
87360ge |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
163840 |
Modular degree for the optimal curve |
Δ |
-4534344360000 = -1 · 26 · 34 · 54 · 72 · 134 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3884,43934] |
[a1,a2,a3,a4,a6] |
Generators |
[5:252:1] [89:1050:1] |
Generators of the group modulo torsion |
j |
101220756956864/70849130625 |
j-invariant |
L |
12.384861126423 |
L(r)(E,1)/r! |
Ω |
0.49001488070835 |
Real period |
R |
3.1593074043251 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999687 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360dz1 43680bs2 |
Quadratic twists by: -4 8 |