Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
36300cc |
Isogeny class |
Conductor |
36300 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-3645411138480672000 = -1 · 28 · 312 · 53 · 118 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- 4 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,243412,79465428] |
[a1,a2,a3,a4,a6] |
Generators |
[1363:54270:1] |
Generators of the group modulo torsion |
j |
28134667888/64304361 |
j-invariant |
L |
7.7413672135872 |
L(r)(E,1)/r! |
Ω |
0.17343692704333 |
Real period |
R |
3.7195881261456 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108900dc2 36300x2 3300q2 |
Quadratic twists by: -3 5 -11 |