Atkin-Lehner |
2- 3+ 5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
86190by |
Isogeny class |
Conductor |
86190 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
7096320 |
Modular degree for the optimal curve |
Δ |
-1.7213437903746E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 4 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-306485,-6312828085] |
[a1,a2,a3,a4,a6] |
Generators |
[186051:15152476:27] |
Generators of the group modulo torsion |
j |
-659616269778649/3566214843750000 |
j-invariant |
L |
10.460826193804 |
L(r)(E,1)/r! |
Ω |
0.055973986313535 |
Real period |
R |
7.7869701005136 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005623 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6630d1 |
Quadratic twists by: 13 |