Atkin-Lehner |
2+ 3+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
8736c |
Isogeny class |
Conductor |
8736 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-2418316992 = -1 · 26 · 33 · 72 · 134 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 6 13- 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-358,-3404] |
[a1,a2,a3,a4,a6] |
j |
-79507000000/37786203 |
j-invariant |
L |
2.1457954814097 |
L(r)(E,1)/r! |
Ω |
0.53644887035242 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8736y1 17472t2 26208bk1 61152q1 |
Quadratic twists by: -4 8 -3 -7 |