Atkin-Lehner |
2- 5+ 13+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
87100d |
Isogeny class |
Conductor |
87100 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
-119599187500000000 = -1 · 28 · 512 · 134 · 67 |
Discriminant |
Eigenvalues |
2- 0 5+ 2 -6 13+ 7 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,41200,16324500] |
[a1,a2,a3,a4,a6] |
Generators |
[1805:77275:1] |
Generators of the group modulo torsion |
j |
1933549830144/29899796875 |
j-invariant |
L |
5.892313414854 |
L(r)(E,1)/r! |
Ω |
0.24623268758278 |
Real period |
R |
5.9824646671885 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002326 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17420i1 |
Quadratic twists by: 5 |