Atkin-Lehner |
3- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
86151g |
Isogeny class |
Conductor |
86151 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
1624320 |
Modular degree for the optimal curve |
Δ |
1.2712155421401E+19 |
Discriminant |
Eigenvalues |
-1 3- -1 -3 4 13+ 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-828421,234025754] |
[a1,a2,a3,a4,a6] |
Generators |
[2393:108149:1] |
Generators of the group modulo torsion |
j |
2640548689/533871 |
j-invariant |
L |
4.4802480934706 |
L(r)(E,1)/r! |
Ω |
0.21281465016173 |
Real period |
R |
1.4034898739232 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999901864 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86151h1 |
Quadratic twists by: -47 |