Atkin-Lehner |
2- 3- 17- 71- |
Signs for the Atkin-Lehner involutions |
Class |
86904o |
Isogeny class |
Conductor |
86904 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
97280 |
Modular degree for the optimal curve |
Δ |
-7444232792064 = -1 · 211 · 311 · 172 · 71 |
Discriminant |
Eigenvalues |
2- 3- -1 1 -1 2 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3237,110486] |
[a1,a2,a3,a4,a6] |
Generators |
[190:2754:1] |
Generators of the group modulo torsion |
j |
2512432078/4986117 |
j-invariant |
L |
6.3515665144847 |
L(r)(E,1)/r! |
Ω |
0.51295915895747 |
Real period |
R |
1.547775880595 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004357 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28968a1 |
Quadratic twists by: -3 |