Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
8736z |
Isogeny class |
Conductor |
8736 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
7680 |
Modular degree for the optimal curve |
Δ |
-45410619072 = -1 · 26 · 3 · 72 · 136 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 13- -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5122,139772] |
[a1,a2,a3,a4,a6] |
Generators |
[34:78:1] |
Generators of the group modulo torsion |
j |
-232245467895232/709540923 |
j-invariant |
L |
6.0028952685691 |
L(r)(E,1)/r! |
Ω |
1.1405377852063 |
Real period |
R |
0.87720245461275 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8736o1 17472ce2 26208x1 61152bf1 |
Quadratic twists by: -4 8 -3 -7 |