Atkin-Lehner |
2- 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
8736u |
Isogeny class |
Conductor |
8736 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-8054452224 = -1 · 212 · 32 · 75 · 13 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 0 13+ 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,499,-357] |
[a1,a2,a3,a4,a6] |
Generators |
[1:12:1] |
Generators of the group modulo torsion |
j |
3348071936/1966419 |
j-invariant |
L |
4.7101072752899 |
L(r)(E,1)/r! |
Ω |
0.77132559535875 |
Real period |
R |
1.5266274397063 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8736r1 17472bt1 26208g1 61152bi1 |
Quadratic twists by: -4 8 -3 -7 |