Atkin-Lehner |
2+ 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
80850cz |
Isogeny class |
Conductor |
80850 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1451520 |
Modular degree for the optimal curve |
Δ |
-134525749050000000 = -1 · 27 · 33 · 58 · 77 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 11+ -5 7 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-150701,-28620952] |
[a1,a2,a3,a4,a6] |
j |
-8236063705/2927232 |
j-invariant |
L |
2.8567165061446 |
L(r)(E,1)/r! |
Ω |
0.1190298531584 |
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 |
80850ec1 11550q1 |
Quadratic twists by: 5 -7 |