Atkin-Lehner |
2- 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
64192cs |
Isogeny class |
Conductor |
64192 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-80736075776 = -1 · 214 · 174 · 59 |
Discriminant |
Eigenvalues |
2- -1 -3 -1 -4 -6 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1297,-22159] |
[a1,a2,a3,a4,a6] |
Generators |
[47:136:1] [64:391:1] |
Generators of the group modulo torsion |
j |
-14738677072/4927739 |
j-invariant |
L |
5.953161428108 |
L(r)(E,1)/r! |
Ω |
0.39111918169754 |
Real period |
R |
1.9026046620441 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64192t1 16048i1 |
Quadratic twists by: -4 8 |