Atkin-Lehner |
3- 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
87285w |
Isogeny class |
Conductor |
87285 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
582912 |
Modular degree for the optimal curve |
Δ |
-13373558511362775 = -1 · 33 · 52 · 11 · 239 |
Discriminant |
Eigenvalues |
-1 3- 5- -4 11- 4 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,55005,-2505888] |
[a1,a2,a3,a4,a6] |
Generators |
[2253:106386:1] |
Generators of the group modulo torsion |
j |
10218313/7425 |
j-invariant |
L |
4.7171083282373 |
L(r)(E,1)/r! |
Ω |
0.22344682657631 |
Real period |
R |
7.0368841931686 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000507 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87285q1 |
Quadratic twists by: -23 |