Atkin-Lehner |
2- 5+ 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
36550u |
Isogeny class |
Conductor |
36550 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
209664 |
Modular degree for the optimal curve |
Δ |
-897850750000000 = -1 · 27 · 59 · 174 · 43 |
Discriminant |
Eigenvalues |
2- 2 5+ 3 -2 -1 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-67813,-6976469] |
[a1,a2,a3,a4,a6] |
Generators |
[895:25052:1] |
Generators of the group modulo torsion |
j |
-2207206464510601/57462448000 |
j-invariant |
L |
13.621326185701 |
L(r)(E,1)/r! |
Ω |
0.14769772670215 |
Real period |
R |
0.82343165677941 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7310h1 |
Quadratic twists by: 5 |