Atkin-Lehner |
2+ 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
64192t |
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 |
[-30:187:1] [21:68:1] |
Generators of the group modulo torsion |
j |
-14738677072/4927739 |
j-invariant |
L |
10.410148086663 |
L(r)(E,1)/r! |
Ω |
1.0223082697439 |
Real period |
R |
1.2728729184196 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999948 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64192cs1 8024i1 |
Quadratic twists by: -4 8 |