Atkin-Lehner |
3- 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
87285v |
Isogeny class |
Conductor |
87285 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
878592 |
Modular degree for the optimal curve |
Δ |
-75189117852772935 = -1 · 3 · 5 · 112 · 2310 |
Discriminant |
Eigenvalues |
1 3- 5- 4 11- -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-73278,-15248837] |
[a1,a2,a3,a4,a6] |
Generators |
[24839138130665093329907796963:-545223766846261250458948954252:40176820871236988683840341] |
Generators of the group modulo torsion |
j |
-293946977449/507911415 |
j-invariant |
L |
12.278096041054 |
L(r)(E,1)/r! |
Ω |
0.13705852861122 |
Real period |
R |
44.791433916088 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999895774 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3795g1 |
Quadratic twists by: -23 |