Atkin-Lehner |
2- 5- 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
36550bc |
Isogeny class |
Conductor |
36550 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
14784 |
Modular degree for the optimal curve |
Δ |
11696000 = 27 · 53 · 17 · 43 |
Discriminant |
Eigenvalues |
2- -2 5- -3 -2 -7 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-153,697] |
[a1,a2,a3,a4,a6] |
Generators |
[22:79:1] [-12:35:1] |
Generators of the group modulo torsion |
j |
3170044709/93568 |
j-invariant |
L |
8.4410723618009 |
L(r)(E,1)/r! |
Ω |
2.2526352675714 |
Real period |
R |
0.26765706317767 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36550k1 |
Quadratic twists by: 5 |