Atkin-Lehner |
2+ 3- 5+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
86730z |
Isogeny class |
Conductor |
86730 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
143294900797440 = 216 · 32 · 5 · 77 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 0 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-23154,1225732] |
[a1,a2,a3,a4,a6] |
Generators |
[278:3897:1] |
Generators of the group modulo torsion |
j |
11667736047241/1217986560 |
j-invariant |
L |
5.7897902913201 |
L(r)(E,1)/r! |
Ω |
0.56332809746547 |
Real period |
R |
5.1389148952649 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999816005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12390e1 |
Quadratic twists by: -7 |