Atkin-Lehner |
2+ 5- 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
36550k |
Isogeny class |
Conductor |
36550 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
73920 |
Modular degree for the optimal curve |
Δ |
182750000000 = 27 · 59 · 17 · 43 |
Discriminant |
Eigenvalues |
2+ 2 5- 3 -2 7 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3825,87125] |
[a1,a2,a3,a4,a6] |
Generators |
[29:26:1] |
Generators of the group modulo torsion |
j |
3170044709/93568 |
j-invariant |
L |
7.0248637261782 |
L(r)(E,1)/r! |
Ω |
1.0074091173606 |
Real period |
R |
3.4865992401296 |
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 |
36550bc1 |
Quadratic twists by: 5 |