Atkin-Lehner |
2- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
64960bi |
Isogeny class |
Conductor |
64960 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-83148800 = -1 · 214 · 52 · 7 · 29 |
Discriminant |
Eigenvalues |
2- -1 5+ 7- 6 4 -6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-581,-5219] |
[a1,a2,a3,a4,a6] |
Generators |
[636:16015:1] |
Generators of the group modulo torsion |
j |
-1326109696/5075 |
j-invariant |
L |
5.5131734436643 |
L(r)(E,1)/r! |
Ω |
0.48603077693962 |
Real period |
R |
5.671629971961 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000166 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64960d1 16240i1 |
Quadratic twists by: -4 8 |