Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
36300cj |
Isogeny class |
Conductor |
36300 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
221760 |
Modular degree for the optimal curve |
Δ |
-20096145093750000 = -1 · 24 · 3 · 59 · 118 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11- -2 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-55458,-8491287] |
[a1,a2,a3,a4,a6] |
Generators |
[1622:64587:1] |
Generators of the group modulo torsion |
j |
-2816/3 |
j-invariant |
L |
6.285225579653 |
L(r)(E,1)/r! |
Ω |
0.14925249384621 |
Real period |
R |
7.018560089777 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108900dp1 36300ba1 36300ch1 |
Quadratic twists by: -3 5 -11 |