Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
36300cf |
Isogeny class |
Conductor |
36300 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-1.2531744508247E+24 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 11- 4 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7587708,-54459716412] |
[a1,a2,a3,a4,a6] |
Generators |
[113613262466179:-1309942721233476:25231100237] |
Generators of the group modulo torsion |
j |
-272709010000/7073843073 |
j-invariant |
L |
7.6503146195413 |
L(r)(E,1)/r! |
Ω |
0.037362234048318 |
Real period |
R |
17.063385917198 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
108900di2 36300i2 3300o2 |
Quadratic twists by: -3 5 -11 |