Atkin-Lehner |
2+ 3+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
8736a |
Isogeny class |
Conductor |
8736 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1280 |
Modular degree for the optimal curve |
Δ |
-3354624 = -1 · 212 · 32 · 7 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7+ 0 13+ 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-29,117] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:12:1] |
Generators of the group modulo torsion |
j |
-681472/819 |
j-invariant |
L |
4.324022209023 |
L(r)(E,1)/r! |
Ω |
2.2723345582161 |
Real period |
R |
0.47572464554004 |
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 |
8736w1 17472bc1 26208bh1 61152y1 |
Quadratic twists by: -4 8 -3 -7 |