Atkin-Lehner |
2- 3- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
80586bf |
Isogeny class |
Conductor |
80586 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
129600 |
Modular degree for the optimal curve |
Δ |
-10321412008248 = -1 · 23 · 39 · 116 · 37 |
Discriminant |
Eigenvalues |
2- 3- 0 1 11- 1 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,2155,-150235] |
[a1,a2,a3,a4,a6] |
Generators |
[105:1054:1] |
Generators of the group modulo torsion |
j |
857375/7992 |
j-invariant |
L |
11.047781166565 |
L(r)(E,1)/r! |
Ω |
0.3573806746747 |
Real period |
R |
2.5761002084103 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000389 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
26862h1 666c1 |
Quadratic twists by: -3 -11 |