Atkin-Lehner |
3- 13- 47- |
Signs for the Atkin-Lehner involutions |
Class |
86151h |
Isogeny class |
Conductor |
86151 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
1179321039 = 35 · 133 · 472 |
Discriminant |
Eigenvalues |
-1 3- 1 -3 -4 13- 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-375,-2286] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:-15:1] [-90:231:8] |
Generators of the group modulo torsion |
j |
2640548689/533871 |
j-invariant |
L |
8.1110454454257 |
L(r)(E,1)/r! |
Ω |
1.100266375075 |
Real period |
R |
0.49145950041504 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000195 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86151g1 |
Quadratic twists by: -47 |