Atkin-Lehner |
2- 5- 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
36550bi |
Isogeny class |
Conductor |
36550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
263040 |
Modular degree for the optimal curve |
Δ |
-227029753906250 = -1 · 2 · 59 · 17 · 434 |
Discriminant |
Eigenvalues |
2- 1 5- 0 2 5 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-363013,-84217733] |
[a1,a2,a3,a4,a6] |
Generators |
[84348659976:-2837611978613:60236288] |
Generators of the group modulo torsion |
j |
-2708696096523773/116239234 |
j-invariant |
L |
11.027196907773 |
L(r)(E,1)/r! |
Ω |
0.097249614868169 |
Real period |
R |
14.173831077277 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36550j1 |
Quadratic twists by: 5 |