Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
87120ds |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
405504 |
Modular degree for the optimal curve |
Δ |
-6188197920260400 = -1 · 24 · 38 · 52 · 119 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11+ -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,15972,-3704173] |
[a1,a2,a3,a4,a6] |
Generators |
[6469:520398:1] |
Generators of the group modulo torsion |
j |
16384/225 |
j-invariant |
L |
5.9362899242019 |
L(r)(E,1)/r! |
Ω |
0.20782201561039 |
Real period |
R |
7.1410744194587 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010611 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21780f1 29040ck1 87120du1 |
Quadratic twists by: -4 -3 -11 |