Atkin-Lehner |
2- 5+ 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
10850s |
Isogeny class |
Conductor |
10850 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-8680000000000 = -1 · 212 · 510 · 7 · 31 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 4 -1 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,4987,43531] |
[a1,a2,a3,a4,a6] |
j |
1404547175/888832 |
j-invariant |
L |
5.469180312667 |
L(r)(E,1)/r! |
Ω |
0.45576502605558 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86800cg1 97650t1 10850q1 75950cs1 |
Quadratic twists by: -4 -3 5 -7 |