Atkin-Lehner |
2+ 3+ 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
29760p |
Isogeny class |
Conductor |
29760 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8960 |
Modular degree for the optimal curve |
Δ |
-15237120 = -1 · 215 · 3 · 5 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -5 3 -2 4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-65,-255] |
[a1,a2,a3,a4,a6] |
j |
-941192/465 |
j-invariant |
L |
1.6407264007943 |
L(r)(E,1)/r! |
Ω |
0.82036320039694 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29760bl1 14880m1 89280bj1 |
Quadratic twists by: -4 8 -3 |